Multi-rate time integration on overset meshes
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| Title: | Multi-rate time integration on overset meshes |
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| Authors: | Mikida, Cory |
| Contributors: | Bodony, Daniel J., Kloeckner, Andreas |
| Publication Year: | 2017 |
| Collection: | University of Illinois at Urbana-Champaign: IDEALS (Illinois Digital Environment for Access to Learning and Scholarship) |
| Subject Terms: | Multi-rate time integration, Overset meshes, Computational fluid dynamics |
| Description: | In the computational fluid dynamic simulation of problems with complex geometries or multiscale spatio-temporal features, overset meshes can be effectively used. However, in the case of overset problems in which one or more of the meshes vary significantly in resolution, standard explicit time integrators limit the maximum allowable timestep across the entire simulation domain to that of the finest mesh, per the well-known Courant-Friedrichs-Lewy (CFL) condition. What therefore results is a potentially high amount of computational work that theoretically need not be performed on the grids with coarser resolution and a commensurately larger timestep. With the targeted use of multi-rate time integrators, separate meshes can be marched at independent rates in time to avoid wasteful computation while maintaining accuracy and stability. This work features the application of such integrators (specifically, multi-rate Adams-Bashforth (MRAB) integrators) to the simulation of overset mesh-described problems using a parallel Fortran code. The thesis focuses on the overarching mathematical theory, implementation via code generation, proof of numerical accuracy and stability, and demonstration of serial and parallel performance capabilities. Specifically, the results of this study directly indicate the numerical efficacy of MRAB integrators, outline a number of outstanding code challenges, demonstrate the expected reduction in time enabled by MRAB, and emphasize the need for proper load balancing through spatial decomposition in order for parallel runs to achieve the predicted time-saving benefit. ; Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2017-08-10 without embargo terms ; The student, Cory Mikida, accepted the attached license on 2017-04-27 at 14:55. ; The student, Cory Mikida, submitted this Thesis for approval on 2017-04-27 at 14:58. ; This Thesis was approved for publication on 2017-04-27 at 17:49. ; DSpace SAF Submission Ingestion Package ... |
| Document Type: | text |
| File Description: | application/pdf |
| Language: | English |
| Relation: | http://hdl.handle.net/2142/97508 |
| Availability: | http://hdl.handle.net/2142/97508 |
| Rights: | Copyright 2017 by Cory Mikida |
| Accession Number: | edsbas.659B811D |
| Database: | BASE |
Nájsť tento článok vo Web of Science | Abstract: | In the computational fluid dynamic simulation of problems with complex geometries or multiscale spatio-temporal features, overset meshes can be effectively used. However, in the case of overset problems in which one or more of the meshes vary significantly in resolution, standard explicit time integrators limit the maximum allowable timestep across the entire simulation domain to that of the finest mesh, per the well-known Courant-Friedrichs-Lewy (CFL) condition. What therefore results is a potentially high amount of computational work that theoretically need not be performed on the grids with coarser resolution and a commensurately larger timestep. With the targeted use of multi-rate time integrators, separate meshes can be marched at independent rates in time to avoid wasteful computation while maintaining accuracy and stability. This work features the application of such integrators (specifically, multi-rate Adams-Bashforth (MRAB) integrators) to the simulation of overset mesh-described problems using a parallel Fortran code. The thesis focuses on the overarching mathematical theory, implementation via code generation, proof of numerical accuracy and stability, and demonstration of serial and parallel performance capabilities. Specifically, the results of this study directly indicate the numerical efficacy of MRAB integrators, outline a number of outstanding code challenges, demonstrate the expected reduction in time enabled by MRAB, and emphasize the need for proper load balancing through spatial decomposition in order for parallel runs to achieve the predicted time-saving benefit. ; Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2017-08-10 without embargo terms ; The student, Cory Mikida, accepted the attached license on 2017-04-27 at 14:55. ; The student, Cory Mikida, submitted this Thesis for approval on 2017-04-27 at 14:58. ; This Thesis was approved for publication on 2017-04-27 at 17:49. ; DSpace SAF Submission Ingestion Package ... |
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