Show simple item record

dc.contributor.advisor Chan, Jesse
dc.creatorLin, Yimin
dc.date.accessioned 2020-09-23T14:21:59Z
dc.date.available 2020-09-23T14:21:59Z
dc.date.created 2020-12
dc.date.issued 2020-09-23
dc.date.submitted December 2020
dc.identifier.citation Lin, Yimin. "Entropy Stable Discontinuous Galerkin-Fourier Methods." (2020) Master’s Thesis, Rice University. https://hdl.handle.net/1911/109372.
dc.identifier.urihttps://hdl.handle.net/1911/109372
dc.description.abstract Entropy stable discontinuous Galerkin methods for nonlinear conservation laws replicate an entropy inequality at semi-discrete level. The construction of such methods depends on summation-by-parts (SBP) operators and flux differencing using entropy conservative finite volume fluxes. In this work, we propose a discontinuous Galerkin-Fourier method for systems of nonlinear conservation laws, which is suitable for simulating flows with spanwise homogeneous geometries. The resulting method is semi-discretely entropy conservative or entropy stable. Computational efficiency is achieved by GPU acceleration using a two-kernel splitting. Numerical experiments in 3D confirm the stability and accuracy of the proposed method.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectNumerical PDEs
High order methods
Discontinuous Galerkin methods
High performance computing
dc.title Entropy Stable Discontinuous Galerkin-Fourier Methods
dc.type Thesis
dc.date.updated 2020-09-23T14:21:59Z
dc.type.material Text
thesis.degree.department Computational and Applied Mathematics
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Arts


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record