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Subgrid finite volume preconditioner for Discontinuous Galerkin implemented in the DUNE framework

Kasimir, Johannes LU (2021) In Master's Theses in Mathematical Sciences FMNM01 20202
Mathematics (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:
author
Kasimir, Johannes LU
supervisor
organization
alternative title
Subnätbaserad finit volym förkonditionering för Diskontinuerliga Galerkinmetoder implemeterad i programpaketet DUNE
course
FMNM01 20202
year
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}},
}