Damped, direction-dependent multigrid for hypersonic flow computations:
Abstract: "A nonlinear multigrid technique with improved robustness is developed for the solution of the steady Euler equations. The system of nonlinear equations is discretized by an upwind finite volume method. Collective symmetric point Gauss-Seidel relaxation is applied as the standard smoo...
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
1989
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| Series: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1989,22 |
| Subjects: | |
| Summary: | Abstract: "A nonlinear multigrid technique with improved robustness is developed for the solution of the steady Euler equations. The system of nonlinear equations is discretized by an upwind finite volume method. Collective symmetric point Gauss-Seidel relaxation is applied as the standard smoothing technique. In case of failure of the point relaxation, a switch is made to a local evolution technique. The novel robustness improvements to the nonlinear multigrid method are a local damping of the restricted defect, and a global upwind prolongation of the correction. The defect damping is derived from a two-grid convergence analysis The upwind prolongation makes efficient use of the P-variant of Osher's approximate Riemann solver. Satisfactory convergence results are shown for the computation of a hypersonic launch and reentry flow around a blunt forebody with canopy. For the test cases considered, it appears that the improved multigrid method performs significantly better than a standard nonlinear multigrid method. |
| Physical Description: | 16 S. |
Staff View
MARC
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| 245 | 1 | 0 | |a Damped, direction-dependent multigrid for hypersonic flow computations |c B. Koren ; P. W. Hemker |
| 264 | 1 | |a Amsterdam |c 1989 | |
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| 520 | 3 | |a Abstract: "A nonlinear multigrid technique with improved robustness is developed for the solution of the steady Euler equations. The system of nonlinear equations is discretized by an upwind finite volume method. Collective symmetric point Gauss-Seidel relaxation is applied as the standard smoothing technique. In case of failure of the point relaxation, a switch is made to a local evolution technique. The novel robustness improvements to the nonlinear multigrid method are a local damping of the restricted defect, and a global upwind prolongation of the correction. The defect damping is derived from a two-grid convergence analysis | |
| 520 | 3 | |a The upwind prolongation makes efficient use of the P-variant of Osher's approximate Riemann solver. Satisfactory convergence results are shown for the computation of a hypersonic launch and reentry flow around a blunt forebody with canopy. For the test cases considered, it appears that the improved multigrid method performs significantly better than a standard nonlinear multigrid method. | |
| 650 | 4 | |a Euler's numbers | |
| 650 | 4 | |a Multigrid methods (Numerical analysis) | |
| 700 | 1 | |a Hemker, Pieter W. |e Verfasser |4 aut | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1989,22 |w (DE-604)BV010177152 |9 1989,22 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006766202 | ||
Record in the Search Index
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| author | Koren, Barry Hemker, Pieter W. |
| author_facet | Koren, Barry Hemker, Pieter W. |
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| id | DE-604.BV010185310 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:00Z |
| institution | BVB |
| language | English |
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| owner_facet | DE-91G DE-BY-TUM |
| physical | 16 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Koren, Barry Verfasser aut Damped, direction-dependent multigrid for hypersonic flow computations B. Koren ; P. W. Hemker Amsterdam 1989 16 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1989,22 Abstract: "A nonlinear multigrid technique with improved robustness is developed for the solution of the steady Euler equations. The system of nonlinear equations is discretized by an upwind finite volume method. Collective symmetric point Gauss-Seidel relaxation is applied as the standard smoothing technique. In case of failure of the point relaxation, a switch is made to a local evolution technique. The novel robustness improvements to the nonlinear multigrid method are a local damping of the restricted defect, and a global upwind prolongation of the correction. The defect damping is derived from a two-grid convergence analysis The upwind prolongation makes efficient use of the P-variant of Osher's approximate Riemann solver. Satisfactory convergence results are shown for the computation of a hypersonic launch and reentry flow around a blunt forebody with canopy. For the test cases considered, it appears that the improved multigrid method performs significantly better than a standard nonlinear multigrid method. Euler's numbers Multigrid methods (Numerical analysis) Hemker, Pieter W. Verfasser aut Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1989,22 (DE-604)BV010177152 1989,22 |
| spellingShingle | Koren, Barry Hemker, Pieter W. Damped, direction-dependent multigrid for hypersonic flow computations Euler's numbers Multigrid methods (Numerical analysis) |
| title | Damped, direction-dependent multigrid for hypersonic flow computations |
| title_auth | Damped, direction-dependent multigrid for hypersonic flow computations |
| title_exact_search | Damped, direction-dependent multigrid for hypersonic flow computations |
| title_full | Damped, direction-dependent multigrid for hypersonic flow computations B. Koren ; P. W. Hemker |
| title_fullStr | Damped, direction-dependent multigrid for hypersonic flow computations B. Koren ; P. W. Hemker |
| title_full_unstemmed | Damped, direction-dependent multigrid for hypersonic flow computations B. Koren ; P. W. Hemker |
| title_short | Damped, direction-dependent multigrid for hypersonic flow computations |
| title_sort | damped direction dependent multigrid for hypersonic flow computations |
| topic | Euler's numbers Multigrid methods (Numerical analysis) |
| topic_facet | Euler's numbers Multigrid methods (Numerical analysis) |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT korenbarry dampeddirectiondependentmultigridforhypersonicflowcomputations AT hemkerpieterw dampeddirectiondependentmultigridforhypersonicflowcomputations |