Riemann solvers and numerical methods for fluid dynamics: a practical introduction
High resolution upwind and centered methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practic...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2009
|
Ausgabe: | 3. ed. |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Zusammenfassung: | High resolution upwind and centered methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods. Applications include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows. For this third edition, the book was thoroughly revised. It contains substantial more and new material both in its fundamental as well as in its applied part |
Beschreibung: | XXIV, 724 S. Ill., graph. Darst. |
ISBN: | 9783540252023 |
Internformat
MARC
LEADER | 00000nam a2200000 c 4500 | ||
---|---|---|---|
001 | BV035680457 | ||
003 | DE-604 | ||
005 | 20120629 | ||
007 | t | ||
008 | 090817s2009 gw ad|| |||| 00||| eng d | ||
020 | |a 9783540252023 |9 978-3-540-25202-3 | ||
035 | |a (OCoLC)391057413 | ||
035 | |a (DE-599)BVBBV035680457 | ||
040 | |a DE-604 |b ger |e rakddb | ||
041 | 0 | |a eng | |
044 | |a gw |c DE | ||
049 | |a DE-29T |a DE-634 |a DE-703 |a DE-91G |a DE-83 |a DE-11 |a DE-706 |a DE-1050 |a DE-20 |a DE-19 | ||
082 | 0 | |a 532.0501518 |2 22/ger | |
084 | |a UF 4000 |0 (DE-625)145577: |2 rvk | ||
084 | |a MTA 309f |2 stub | ||
100 | 1 | |a Toro, Elewterio F. |d 1946- |e Verfasser |0 (DE-588)115395210 |4 aut | |
245 | 1 | 0 | |a Riemann solvers and numerical methods for fluid dynamics |b a practical introduction |c Eleuterio F. Toro |
250 | |a 3. ed. | ||
264 | 1 | |a Berlin [u.a.] |b Springer |c 2009 | |
300 | |a XXIV, 724 S. |b Ill., graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
520 | |a High resolution upwind and centered methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods. Applications include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows. For this third edition, the book was thoroughly revised. It contains substantial more and new material both in its fundamental as well as in its applied part | ||
650 | 0 | 7 | |a Riemannsches Integral |0 (DE-588)4049996-0 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Numerische Strömungssimulation |0 (DE-588)4690080-9 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Strömungsmechanik |0 (DE-588)4077970-1 |2 gnd |9 rswk-swf |
655 | 7 | |8 1\p |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
689 | 0 | 0 | |a Numerische Strömungssimulation |0 (DE-588)4690080-9 |D s |
689 | 0 | |5 DE-604 | |
689 | 1 | 0 | |a Strömungsmechanik |0 (DE-588)4077970-1 |D s |
689 | 1 | 1 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
689 | 1 | |8 2\p |5 DE-604 | |
689 | 2 | 0 | |a Riemannsches Integral |0 (DE-588)4049996-0 |D s |
689 | 2 | |8 3\p |5 DE-604 | |
776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-540-49834-6 |
856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017734730&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
999 | |a oai:aleph.bib-bvb.de:BVB01-017734730 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk |
Datensatz im Suchindex
_version_ | 1804139386723368960 |
---|---|
adam_text | CONTENTS PRCFACE TO THE FIRST EDITION VII PRCFACE TO THE THIRD EDITION
XI 1 THE EQUATIONS OF FLUID DYNAMICS 1 1.1 THE EULER EQUATIONS 2 1.1.1
CONSERVNTION-LAW FORM 3 1.1.2 OTHER COMPACT FORMS 4 1.2 THERMODYNAMIC
CONSIDERATIONS 5 1.2.1 UNITS OF MEASURE 5 1.2.2 EQUATIONS OF STATE (EOS)
6 1.2.3 OTHER VARIABLES AND RELATIONS 7 1.2.4 IDEAL GASES 11 1.2.5
COVOLUME AND VAN DER WAAL GASES 13 1.3 VISCOUS STRESSES 15 1.4 HCAT
CONDUCTION 17 1.5 INTEGRAL FORM OF THE EQUATIONS 18 1.5.1 TIME
DERIVATIVES 19 1.5.2 CONSERVATION OF MASS 20 1.5.3 CONSERVATION OF
MOMENTUM 21 1.5.4 CONSERVATION OF ENERGY 23 1.6 SUBMODEK 25 1.6.1
SUMMARY OF THE EQUATIONS 25 1.6.2 FLOW WITH AREA VARIATION 27 1.6.3
AXI-SYMRNETRIC FLOWS 28 1.6.4 CYLINDRICAL AND SPHERICAL SYMMETRY 29
1.6.5 PLAIN ONE-DIMENSIONAL FLOW 29 1.6.6 STEADY COMPRESSIBLE FLOW 31
1.6.7 VISCOUS COMPRESSIBLE FLOW 33 1.6.8 FREE-SURFACE GRAVITY FLOW 33
1.6.9 THE SHALLOW WATER EQUATIONS 35 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/973670770 DIGITALISIERT DURCH XVI CONTENTS 1.6.10
INEOMPRESSIBLE VISCOUS FLOW 38 1.6.11 THE ARTIFICIAL COMPRCSSIBILITY
EQUATIONS 39 2 NOTIONS ON HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS 41
2.1 QUAST-LINEAR EQTMTIONS: BASIC CONCEPTS 42 2.2 THE LINEAR ADVCCTION
EQUATION 47 2.2.1 CHARACTERISTICS AND THE GENERAL SOLUTIUU 47 2.2.2 THE
RIEINANN PROBLEM 49 2.3 LINEAR HYPERBOLIC SYSTEMS 50 2.3.1
DIAGONALISATION AND CLIARACTERLSTIC VARIABLES 51 2.3.2 THE GENERAL
INITIAL-VNLUE PROBLEM 52 2.3.3 THE RIEINANN PROBLEM 55 2.3.4 THE
RIEINANN PROBLEM FOR LINCARISCD GAS DYNAMICS ... 58 2.3.5 SOME USEFUL
DEFINITIONS 60 2.4 CONSERVATION LAWS 61 2.4.1 INTEGRAL FORMS OF
CONSERVATION LAWS 62 2.4.2 NON-LINEARITIES AND SHOCK FORMATION 66 2.4.3
CHARACTERISTIC FIELDS 77 2.4.4 ELEMENTARY-WAVE SOLUTIONS OF THE RIEINANN
PROBLEM .. 83 3 SOME PROPERTIES OF THE EULER EQUATIONS 87 3.1 THE
ONE-DIMENSIONAL EULER EQUATIONS 87 3.1.1 CONSERVATIVE FONNULATION 87
3.1.2 NON-CONSERVATIVE FORMULATIONS 91 3.1.3 ELEMENTARY WAVE SOLUTIONS
OF THE RICTNANN PROBLEM... 94 3.2 MULTI-DIMENSIONAL EULER EQUATIONS 103
3.2.1 TWO-DIMENSIONAL EQUATIONS IN CONSERVATIVE FORM .... 104 3.2.2
THREE-DIMENSIONAL EQUATIONS IN CONSERVATIVE FORM ... 108 3.2.3
THREE-DIMENSIONAL PRIMITIVE VARIABLE FONNULATION .... 109 3.2.4 THE
SPLIT THREE-DIMENSIONAL RIEMANN PROBLEM 111 3.3 CONSERVATIVE VERSUS
NON-CONSERVATIVE FORMULATIONS 112 4 THE RIEMANN PROBLEM FOR THE EULER
EQUATIONS ..115 4. CONTENTS XVII 4.5.1 LEFT SIDE OF CONTACT: S - X/T U
137 4.5.2 RIGHT SIDE OF CONTACT: S = X/T U 137 4.6 THE RIEMANN PROBLEM
IN THE PRESENCE OF VACUUM 139 4.6.1 CIISO 1: VACUUM RIGHT STATE 140
4.6.2 CASE 2: VACUUM LEFT STATE 142 4.6.3 CASE 3: GENERATION OF VACUUM
142 4.7 THE RIEMANN PROBLEM FOR COVOLUME GASES 143 4.7.1 SOLUTION FOR
PRESSURE AND PARTICLE VELOCITY. 144 4.7.2 NUMERICAL SOLUTION FOR
PRESSURE 147 4.7.3 THE COMPLETE SOLUTION 147 4.7.4 SOLUTION INSIDE
RAREFACTIONS 148 4.8 THE SPLIT MULTI-DIMENSIONAL CASE 149 4.9 FORTRAN
PROGRAM FOR EXACT RIEMANN SOLVER 151 NOTIONS ON NUMERICAL METHODS 163
5.1 DISCRETISATION: INTRODUCTORY CONCEPTS 163 5.1.1 APPROXIMATION TO
DERIVATIVES 164 5.1.2 FINITE DIFFERENCC APPROXIMATION TO A PDE 165 5.2
SELECTED DIFFERENCE SCHEINES 168 5.2.1 THE FIRST ORDER UPWIND SCHEINE
168 5.2.2 OTHER WELL-KNOWN SCHEINES 172 5.3 CONSERVATIVE METHODS 174
5.3.1 BASIC DEFINITIONS 175 5.3.2 GODUNOV S FIRST-ORDER UPWIND METHOD
177 5.3.3 GODUNOV S METHOD FOR BURGERS S EQUATION 181 5.3.4 CONSERVATIVE
FORM OF DIFFERENCE SCHEMES 184 5.4 UPWIND SCHEINES FOR LINEAR SYSTEMS
187 5.4.1 THE CIR SCHEME 188 5.4.2 GODUNOV S METHOD 190 5.5 SAMPLE
NUMERICAL RESULTS 194 5.5.1 LINEAR ADVECTION 194 5.5. XVIII CONTENTS 7
RANDOM CHOICE AND RELATED METHODS 237 7.1 INTRODUCTION 237 7.2 RCM ON A
NON-STAGGERCD GRID 238 7.2.1 THE SCHEME FOR NON-LINEAR SYSTEMS 239 7.2.2
BOUNDARY CONDITIONS AND THE TIME STEP SIZE 243 7.3 A RANDOM CHOICE
SCHEINE OF THE LAX-FRIEDRICLIS TYPE 244 7.3.1 REVIEW OF THE
LAX-FRIEDRICHS SCHEME 244 7.3.2 THE SCHEME 245 7.4 THE RCM ON A
STAGGERED GRID 247 7.4.1 THE SCHEME FOR NON-LINEAR SYSTEMS 247 7.4.2 A
DETERMINISTIC FIRST-ORDER CENTRED SCHEME (FORCE) . 247 7.4.3 ANALYSIS OF
THE FORCE SCHEME 249 7.5 RANDOM NUMBERS 250 7.5.1 VAN DER CORPUT
PSEUDO-RANDOM NUMBERS 250 7.5.2 STATISTICAL PROPERTIES 251 7.5.3
PROPAGATION OF A SINGLE SHOCK 253 7.6 NUMERICAL RESULTS 255 7.7
CONCLUDING REMARKS 256 8 FLUX VECTOR SPLITTING METHODS 265 8.1
INTRODUCTION 265 8.2 THE FLUX VECTOR SPLITTING APPROACH 266 8.2.1 UPWIND
DIFFERENCING 266 8.2.2 THE FVS APPROACH 268 8.3 FVS FOR THE ISOTHERMAL
EQUATIONS 270 8.3.1 SPLIT FLUXES 271 8.3.2 FVS NUMERICAL SCHEINES 272
8.4 FVS APPLIED TO THE EULER EQUATIONS 273 8.4.1 RECALUNG THE EQUATIONS
274 8.4.2 THE STEGER-WARMING SPLITTING 276 8.4.3 THE VAN LEER SPLITTING
277 8.4.4 THE LIOU-STEFFEN SCHEME 278 8.5 NUMERICAL RESULTS 280 8.5.1
TESTS 280 8.5.2 RESULTS FOR TEST 1 280 8.5.3 RESULTS FOR TEST 2 281
8.5.4 RESULTS FOR TEST 3 281 8.5.5 RESULTS FOR TEST 4 282 8.5. CONTENTS
XIX 9.3 PRIMITIVE VARIABLE RIEMANN SOLVERS (PVRS) 297 9.4 APPROXIMNTIONS
BASED ON THE EXACT SOLVER 301 9.4.1 A TWO-RAREFACTION RIEMANN SOLVER
(TRRS) 301 9.4.2 A TWO-SHOCK RIEMANN SOLVER (TSRS) 303 9.5 ADAPTIVE
RIEMANN SOLVERS 304 9.5.1 AN ADAPTIVE ITERATIVE RIEMANN SOLVER (AIRS)
304 9.5.2 AN ADAPTIVE NONITERATIVE RIEMANN SOLVER (ANRS) .... 305 9.6
NUMERICAL RESULTS 306 10 THE HLL AND HLLC RIEMANN SOLVERS 315 10.1
INTRODUCTION 315 10.2 THE RIEMANN PROBLEM 317 10.2.1 THE GODUNOV FLUX
317 10.2.2 INTEGRAL RELATIONS 318 10.3 THE HLL APPROXIMATE RIEMANN
SOLVER 320 10.4 THE HLLC APPROXIMATE RIEMANN SOLVER 322 10.4.1 USEFUL
RELATIONS 322 10.4.2 THE HLLC FLUX FOR THE EULER EQUATIONS 324 10.4.3
MULTIDHNENSIONAL AND MULTICOMPONENT FLOW 326 10.5 WAVE-SPEED ESTIMATES
327 10.5.1 DIRECT WAVE SPEED ESTIMATES 328 10.5.2 PRESSURE-BASED WAVE
SPEED ESTIMATES 329 10.6 SUMMARY OF HLLC FLUXES 331 10.7 CONTACT WAVES
AND PASSIVE SEALARS 333 10.8 NUMERICAL RESULTS 334 10.9 CLOSING REMARKS
336 11 THE RIEMANN SOLVER OF ROE 345 11.1 BASES OF THE ROE APPROACH 346
11.1.1 THE EXACT RIEMANN PROBLEM AND THE GODUNOV FLUX... 346 11.1.2
APPROXIMATE CONSERVATION LAWS 347 11.1.3 THE APPROXIMATE RIEINANN
PROBLEM AND THE INTERCELL FLUX 349 11.2 THE ORIGINAL ROE METHOD 351
11.2.1 THE ISOTHERMAL EQUATIONS 352 11.2. XX CONTENTS 11.5.1 THE TESTS
372 11.5.2 THE RESULTS 373 11.6 EXTENSIONS 373 12 THE RIEMANN SOLVER OF
OSHER 377 12.1 OSHER S SCHEME FOR A GENERAL SYSTEM 378 12.1.1
MATHEMATICAL BASES 378 12.1.2 OSHER S NUMERICAL FLUX 380 12.1.3 OSHER S
FLUX FOR THE SINGLE-WAW CASE 381 12.1.4 OSHER S FLUX FOR THE INVLSCID
BURGERS EQUATION 383 12.1.5 OSHER S FLUX FOR THE GENERAL CASE 384 12.2
OSHER S FLUX FOR THE ISOTHERMAL EQUATIONS 385 12.2.1 OSHER S FLUX WITH
P-ORDERING 3W 12.2.2 OSHER S FLUX WITH O-ORDERING 389 12.3 OSHER S
SCHEME FOR THE EULER EQUATIONS 392 12.3.1 OSHER S FLUX WITH P-ORDERING
393 12.3.2 OSHER S FLUX WITH O-ORDERING 397 12.3.3 REMARKS ON PATH
ORDERINGS 402 12.3.4 THE SPLIT THREE-DIMENSIONAL CA 1 *? 403 12.4
NUMERICAL RESULTS AND DISCUSSION 404 12.5 EXTENSIONS 406 13 HIGH-ORDER
AND TVD METHODS FOR SCALNR EQUATIONS 413 13.1 INTRODUCTION 413 13.2
BASIC PROPERTIES OF SELECTED SCHEMES 415 13.2.1 SELECTED SCHEMES 415
13.2.2 ACCURACY 417 13.2.3 STABILITY 418 13.3 WAF-TYPE HIGH ORDER
SCHEMES 420 13.3.1 THE BASIC WAF SCHEME 420 13.3.2 GENERALISATIONS OF
THE WAF SCHEME 423 13.4 MUSCL-TYPE HIGH-ORDER METHODS 426 13.4.1 DATA
RECONSTRUCTION 426 13.4.2 THE MUSCL-HANCOCK METHOD (MHM) 429 13.4.
CONTENTS XXI 13.5.5 DATA COMPATIBILITY 449 13.6 TOTAL VARIATION
DIMIULSHING ( TVD) METHODS 451 13.6.1 THE TOTAL VARIATION 452 13.6.2 TVD
AND MONOTONICITY PRESERVING SCHEMES 453 13.7 FLUX LIMITER METHODS 456
13.7.1 TVD VERSION OF THE WAF METHOD 456 13.7.2 THE GENERAL FLUX-LIMITER
APPROACH 464 13.7.3 TVD UPWIND FLUX LIMITER SCHEMES 469 13.7.4 TVD CENT
RED FLUX LIMITER SCHEMES 474 13.8 SLOPE LIMITER METHODS 480 13.8.1 TVD
CONDITIONS 480 13.8.2 CONSTRUCTION OF TVD SLOPES 481 13.8.3 SLOPE
LIMITERS 482 13.8.4 LIMITED SLOPES OBTAINED FROM FLUX LIMITERS 484 13.9
EXTENSIONS OF TVD METHODS 486 13.9.1 TVD SCHEMES IN THE PRESENCE OF
SOURCE TERMS 486 13.9.2 TVD SCHEMES IN THE PRESENCE OF DIFFUSION TENNS
486 13.10NUMERICAL RESULTS FOR LINEAR ADVECTION 487 14 HIGH-ORDER AND
TVD SCHEMES FOR NON-LINEAR SYSTEMS ... 493 14.1 INTRODUCTION 493 14.2
CFL AND BOUNDARY CONDITIONS 495 14.3 WEIGHTED AVERAGE FLUX (WAF) SCHEMES
496 14.3.1 THE ORIGINAL VERSION OF WAF 496 14.3.2 A WEIGHTED AVERAGE
STATE VERSION 498 14.3.3 RAREFACTIONS IN STATE RIEMANN SOLVERS 499
14.3.4 TVD VERSION OF WAF SCHEMES 501 14.3.5 RIEMANN SOLVERS 503 14.3.6
SUMMARY OF THE WAF METHOD 503 14.4 THE MUSCL-HANCOCK SCHEME 504 14.4.1
THE BASIC SCHEME 504 14.4.2 A VARIANT OF THE SCHEME 506 14.4.3 TVD
VERSION OF THE SCHEME 507 14.4. XXII CONTENTS 14.7.2 CENTRED TVD METHODS
524 15 SPLITTING SCHEMES FOR PDES WITH SOURCE TERMS 531 15.1
INTRODUCTION 531 15.2 SPLITTING FOR A MODEL EQUATION 533 15.3 NUMERICAL
METHODS BASED ON SPLITTING 535. 15.3.1 MODEL EQUATIONS 535 15.3.2
SCHEMES FOR SYSTEMS 536 15.4 REMARKS ON ODE SOLVERS 537 15.4.1
FIRST-ORDER SYSTEMS OF ODES 537 15.4.2 NUMERICAL METHODS 539 15.4.3
IMPLEMENTATION DETAILS FOR SPLIT SCHEMES 540 15.5 CONCLUDING REMARKS 541
16 METHODS FOR MULTI-DIMENSIONAL PDES 543 16.1 INTRODUCTION 543 16.2
DIMENSIONAL SPLITTING 544 16.2.1 SPLITTING FOR A MODEL PROBLEM 544
16.2.2 SPLITTING SCHEMES FOR TWO-DIMENSIONAL SYSTEMS 545 16.2.3
SPLITTING SCHEMES FOR THREE-DIMENSIONAL SYSTEMS 547 16.3 PRACTICAL
IMPLEMENTATION OF SPLITTING SCHEMES IN THREE DIMENSIONS 549 16.3.1
HANDLING THE SWEEPS BY A SINGLE SUBROUTINE 549 16.3.2 CHOICE OF TIME
STEP SIZE 551 16.3.3 THE INTERCELL FLUX AND THE TVD CONDITION 552 16.4
UNSPLIT FINITE VOLUME METHODS 555 16.4.1 INTRODUCTORY CONCEPTS 555
16.4.2 ACCURACY AND STABILITY OF MULTIDIMENSIONAL SCHEMES... 558 16.5 A
MUSCL-HANCOCK FINITE VOLUME SCHEME 561 16.6 WAF-TYPE FINITE VOLUME
SCHEMES 563 16.6.1 TWO-DIMENSIONAL LINEAR ADVECTION 564 16.6.2
THREE-DIMENSIONAL LINEAR ADVECTION 567 16.6.3 SCHEMES FOR
TWO-DIMENSIONAL NONLINEAR SYSTEMS 570 16.6.4 SCHEMES FOR
THREE-DIMENSIONAL NONLINEAR SYSTEMS 573 16. CONTENTS XXIII 18 FORCE
FLUXES IN MULTIPLE SPACE DIMENSIONS 597 18.1 INTRODUCTION 597 18.2
REVIEW OF FORCE IN ONE SPACE DIMENSION 600 18.2.1 FORCE AND RELATED
FLUXES 600 18.2.2 MONOTONICITY AND NUMERICAL VISCOSITY 602 18.3 FORCE
SCHEMES ON CARTESIAN MESHES 605 18.3.1 THE TWO-DIMENSIONAL CASE 605
18.3.2 THE THREE-DIMENSIONAL CASE 609 18.4 PROPERTIES OF THE FORCE
SCHEMES 610 18.4.1 ONE-DIMENSIONAL INTERPRETATION 610 18.4.2 SOME
NUMERICAL EXPERIMENTS 611 18.4.3 ANALYSIS IN MULTIPLE SPACE DIMENSIONS
613 18.5 FORCE SCHEMES ON GENERAL MESHES 617 18.6 SAMPLE NUMERICAL
RESULTS 621 18.7 CONCLUDING REMARKS 621 19 THE GENERALIZED RIEMANN
PROBLEM 625 19.1 INTRODUCTION 625 19.2 STATEMENT OF THE PROBLEM 629 19.3
THE CAUCHY-KOWALEWSKI THEOREM 631 19.3.1 SERIES EXPANSIONS AND ANALYTIC
FUNCTIONS 632 19.3.2 ILLUSTRATION OF THE CAUCHY-KOWALEWSKI THEOREM 633
19.3.3 THE CAUCHY-KOWALEWSKI METHOD 633 19.4 A METHOD OF SOLUTION 635
19.4.1 THE LEADING TERM 636 19.4.2 HIGHER-ORDER TERMS 637 19.4.3 SOURCE
TERMS 640 19.4.4 SUMMARY: NUMERICAL FLUX AND NUMERICAL SOURCE 640 19.4.5
SOME REMARKS 642 19.5 EXAMPLES 642 19.5.1 THE LINEAR ADVECTION EQUATION
643 19.5.2 LINEAR ADVECTION WITH A SOURCE TERM 645 19.5.3 NON-LINEAR
EQUATION WITH A SOURCE TERM 646 19.5.4 THE BURGERS EQUATION WITH A
SOURCE TERM 648 19. XXIV CONTENTS 20.3.1 NUMERICAL FLUX AND NUMERICAL
SOURCE 663 20.3.2 THE SCHEME 666 20.4 SCHEMES OF ARBITRARY ACCURACY 667
20.4.1 THE NUMERICAL FLUX 667 20.4.2 THE NUMERICAL SOURCE 668 20.4.3
SUMMARY 668 20.5 SAMPLE NUMERICAL RESULTS 669 20.5.1 LONG-TIME ADVECTION
OF SMOOTH PROFILES 669 20.5.2 CONVERGENCE RATES 672 20.6 CONCLUDING
REMARKS 673 21 CONCLUDING REMARKS 679 21.1 SUMMARY OF NUMERICAL ASPECTS
679 21.2 POTENTIAL APPLICATIONS 681 21.3 CUXRENT RESEARCH TOPICS 685
21.4 THE NUMERICA LIBRARY 686 REFERENCES 687 INDEX 719
|
any_adam_object | 1 |
author | Toro, Elewterio F. 1946- |
author_GND | (DE-588)115395210 |
author_facet | Toro, Elewterio F. 1946- |
author_role | aut |
author_sort | Toro, Elewterio F. 1946- |
author_variant | e f t ef eft |
building | Verbundindex |
bvnumber | BV035680457 |
classification_rvk | UF 4000 |
classification_tum | MTA 309f |
ctrlnum | (OCoLC)391057413 (DE-599)BVBBV035680457 |
dewey-full | 532.0501518 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 532 - Fluid mechanics |
dewey-raw | 532.0501518 |
dewey-search | 532.0501518 |
dewey-sort | 3532.0501518 |
dewey-tens | 530 - Physics |
discipline | Physik |
edition | 3. ed. |
format | Book |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03197nam a2200529 c 4500</leader><controlfield tag="001">BV035680457</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120629 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">090817s2009 gw ad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540252023</subfield><subfield code="9">978-3-540-25202-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)391057413</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV035680457</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-29T</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-1050</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">532.0501518</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UF 4000</subfield><subfield code="0">(DE-625)145577:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MTA 309f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Toro, Elewterio F.</subfield><subfield code="d">1946-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)115395210</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Riemann solvers and numerical methods for fluid dynamics</subfield><subfield code="b">a practical introduction</subfield><subfield code="c">Eleuterio F. Toro</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">3. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXIV, 724 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">High resolution upwind and centered methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods. Applications include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows. For this third edition, the book was thoroughly revised. It contains substantial more and new material both in its fundamental as well as in its applied part</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Riemannsches Integral</subfield><subfield code="0">(DE-588)4049996-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerische Strömungssimulation</subfield><subfield code="0">(DE-588)4690080-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Strömungsmechanik</subfield><subfield code="0">(DE-588)4077970-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Numerische Strömungssimulation</subfield><subfield code="0">(DE-588)4690080-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Strömungsmechanik</subfield><subfield code="0">(DE-588)4077970-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Riemannsches Integral</subfield><subfield code="0">(DE-588)4049996-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-3-540-49834-6</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017734730&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-017734730</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
genre | 1\p (DE-588)4123623-3 Lehrbuch gnd-content |
genre_facet | Lehrbuch |
id | DE-604.BV035680457 |
illustrated | Illustrated |
indexdate | 2024-07-09T21:43:16Z |
institution | BVB |
isbn | 9783540252023 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017734730 |
oclc_num | 391057413 |
open_access_boolean | |
owner | DE-29T DE-634 DE-703 DE-91G DE-BY-TUM DE-83 DE-11 DE-706 DE-1050 DE-20 DE-19 DE-BY-UBM |
owner_facet | DE-29T DE-634 DE-703 DE-91G DE-BY-TUM DE-83 DE-11 DE-706 DE-1050 DE-20 DE-19 DE-BY-UBM |
physical | XXIV, 724 S. Ill., graph. Darst. |
publishDate | 2009 |
publishDateSearch | 2009 |
publishDateSort | 2009 |
publisher | Springer |
record_format | marc |
spelling | Toro, Elewterio F. 1946- Verfasser (DE-588)115395210 aut Riemann solvers and numerical methods for fluid dynamics a practical introduction Eleuterio F. Toro 3. ed. Berlin [u.a.] Springer 2009 XXIV, 724 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier High resolution upwind and centered methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods. Applications include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows. For this third edition, the book was thoroughly revised. It contains substantial more and new material both in its fundamental as well as in its applied part Riemannsches Integral (DE-588)4049996-0 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Numerische Strömungssimulation (DE-588)4690080-9 s DE-604 Strömungsmechanik (DE-588)4077970-1 s Numerisches Verfahren (DE-588)4128130-5 s 2\p DE-604 Riemannsches Integral (DE-588)4049996-0 s 3\p DE-604 Erscheint auch als Online-Ausgabe 978-3-540-49834-6 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017734730&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Toro, Elewterio F. 1946- Riemann solvers and numerical methods for fluid dynamics a practical introduction Riemannsches Integral (DE-588)4049996-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
subject_GND | (DE-588)4049996-0 (DE-588)4128130-5 (DE-588)4690080-9 (DE-588)4077970-1 (DE-588)4123623-3 |
title | Riemann solvers and numerical methods for fluid dynamics a practical introduction |
title_auth | Riemann solvers and numerical methods for fluid dynamics a practical introduction |
title_exact_search | Riemann solvers and numerical methods for fluid dynamics a practical introduction |
title_full | Riemann solvers and numerical methods for fluid dynamics a practical introduction Eleuterio F. Toro |
title_fullStr | Riemann solvers and numerical methods for fluid dynamics a practical introduction Eleuterio F. Toro |
title_full_unstemmed | Riemann solvers and numerical methods for fluid dynamics a practical introduction Eleuterio F. Toro |
title_short | Riemann solvers and numerical methods for fluid dynamics |
title_sort | riemann solvers and numerical methods for fluid dynamics a practical introduction |
title_sub | a practical introduction |
topic | Riemannsches Integral (DE-588)4049996-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
topic_facet | Riemannsches Integral Numerisches Verfahren Numerische Strömungssimulation Strömungsmechanik Lehrbuch |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017734730&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT toroelewteriof riemannsolversandnumericalmethodsforfluiddynamicsapracticalintroduction |