Entropy Stable Discontinuous Galerkin-Fourier Methods

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dc.contributor.advisorChan, Jesse
dc.creatorLin, Yimin
dc.date.accessioned2020-09-23T14:21:59Z
dc.date.available2020-09-23T14:21:59Z
dc.date.created2020-12
dc.date.issued2020-09-23
dc.date.submittedDecember 2020
dc.date.updated2020-09-23T14:21:59Z
dc.description.abstractEntropy 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.mimetypeapplication/pdf
dc.identifier.citationLin, Yimin. "Entropy Stable Discontinuous Galerkin-Fourier Methods." (2020) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/109372">https://hdl.handle.net/1911/109372</a>.
dc.identifier.urihttps://hdl.handle.net/1911/109372
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.subjectNumerical PDEs
dc.subjectHigh order methods
dc.subjectDiscontinuous Galerkin methods
dc.subjectHigh performance computing
dc.titleEntropy Stable Discontinuous Galerkin-Fourier Methods
dc.typeThesis
dc.type.materialText
thesis.degree.departmentComputational and Applied Mathematics
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Arts
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