Zobrazeno 1 - 10
of 225
pro vyhledávání: '"Chan, Jesse"'
Cut meshes are a type of mesh that is formed by allowing embedded boundaries to "cut" a simple underlying mesh resulting in a hybrid mesh of cut and standard elements. While cut meshes can allow complex boundaries to be represented well regardless of
Externí odkaz:
http://arxiv.org/abs/2404.06630
To strike a balance between modeling accuracy and computational efficiency for simulations of ultrasound waves in soft tissues, we derive a pseudodifferential factorization of the wave operator with fractional attenuation. This factorization allows u
Externí odkaz:
http://arxiv.org/abs/2312.09080
High order schemes are known to be unstable in the presence of shock discontinuities or under-resolved solution features for nonlinear conservation laws. Entropy stable schemes address this instability by ensuring that physically relevant solutions s
Externí odkaz:
http://arxiv.org/abs/2307.12089
Autor:
Lin, Yimin, Chan, Jesse
Subcell limiting strategies for discontinuous Galerkin spectral element methods do not provably satisfy a semi-discrete cell entropy inequality. In this work, we introduce an extension to the subcell limiting strategy that satisfies the semi-discrete
Externí odkaz:
http://arxiv.org/abs/2306.12663
We compare high-order methods including spectral difference (SD), flux reconstruction (FR), the entropy-stable discontinuous Galerkin spectral element method (ES-DGSEM), modal discontinuous Galerkin methods, and WENO to select the best candidate to s
Externí odkaz:
http://arxiv.org/abs/2211.12635
High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can still be required for variable-density flows with under-resolved feat
Externí odkaz:
http://arxiv.org/abs/2203.10238
In this paper, we present an entropy-stable Gauss collocation discontinuous Galerkin (DG) method on 3D curvilinear meshes for the GLM-MHD equations: the single-fluid magneto-hydrodynamics (MHD) equations with a generalized Lagrange multiplier (GLM) d
Externí odkaz:
http://arxiv.org/abs/2203.06062
High-order entropy-stable discontinuous Galerkin methods for the compressible Euler and Navier-Stokes equations require the positivity of thermodynamic quantities in order to guarantee their well-posedness. In this work, we introduce a positivity lim
Externí odkaz:
http://arxiv.org/abs/2201.11816
Autor:
Ranocha, Hendrik, Schlottke-Lakemper, Michael, Chan, Jesse, Rueda-Ramírez, Andrés M., Winters, Andrew R., Hindenlang, Florian, Gassner, Gregor J.
Publikováno v:
ACM Transactions on Mathematical Software, 2023
Many modern discontinuous Galerkin (DG) methods for conservation laws make use of summation by parts operators and flux differencing to achieve kinetic energy preservation or entropy stability. While these techniques increase the robustness of DG met
Externí odkaz:
http://arxiv.org/abs/2112.10517
High order schemes are known to be unstable in the presence of shock discontinuities or under-resolved solution features, and have traditionally required additional filtering, limiting, or artificial viscosity to avoid solution blow up. Entropy stabl
Externí odkaz:
http://arxiv.org/abs/2112.07749