Subgrid finite volume preconditioner for Discontinuous Galerkin implemented in the DUNE framework
(2021) In Master's Theses in Mathematical Sciences FMNM01 20202Mathematics (Faculty of Engineering)
- Abstract
- A Jacobian free multigrid preconditioner for linear problems arising from Implicit Discontinuous Galerkin (DG) discretizations is implemented. The preconditioner is based on a multigrid method for a low order Finite volume (FV) discretization on a subcellgrid. L2-projections are introduced as a strategy to translate between the discretizations. Numerical tests on advection dominated linear advection diffusion in two dimensions, performed using the DUNE framework, shows there is potential in this approach when the FV problem can be solved efficiently to low error
- Popular Abstract
- What does the shifting weather have in common with an electricity generating gas turbine, the blood pumping appliances in our chests, and with the formation of stars in nebulae? These are some examples of the vast variety of systems that can be modeled using fluid dynamics. Future applications of fluid simulations requires more efficient methods than the ones currently used in industrial applications. In this thesis a possible approach for making more efficient methods practical is investigated.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/9065436
- author
- Kasimir, Johannes LU
- supervisor
- organization
- alternative title
- Subnätbaserad finit volym förkonditionering för Diskontinuerliga Galerkinmetoder implemeterad i programpaketet DUNE
- course
- FMNM01 20202
- year
- 2021
- type
- H2 - Master's Degree (Two Years)
- subject
- keywords
- discontinuous galerkin spectral element method, dune, high performance computing, numerical analysis, numerical methods, fluid dynamics, simulation, multigrid, iterative methods
- publication/series
- Master's Theses in Mathematical Sciences
- report number
- LUTFNA-3051-2021
- ISSN
- 1404-6342
- other publication id
- 2021:E61
- language
- English
- id
- 9065436
- date added to LUP
- 2021-09-17 16:01:46
- date last changed
- 2021-09-17 16:01:46
@misc{9065436, abstract = {{A Jacobian free multigrid preconditioner for linear problems arising from Implicit Discontinuous Galerkin (DG) discretizations is implemented. The preconditioner is based on a multigrid method for a low order Finite volume (FV) discretization on a subcellgrid. L2-projections are introduced as a strategy to translate between the discretizations. Numerical tests on advection dominated linear advection diffusion in two dimensions, performed using the DUNE framework, shows there is potential in this approach when the FV problem can be solved efficiently to low error}}, author = {{Kasimir, Johannes}}, issn = {{1404-6342}}, language = {{eng}}, note = {{Student Paper}}, series = {{Master's Theses in Mathematical Sciences}}, title = {{Subgrid finite volume preconditioner for Discontinuous Galerkin implemented in the DUNE framework}}, year = {{2021}}, }