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On the choice of viscous discontinuous Galerkin discretization for entropy correction artificial viscosity methods
arXiv cs.NA0 views
arXiv:2602.23210v2 Announce Type: replace Abstract: Entropy correction artificial viscosity (ECAV) is an approach for enforcing a semi-discrete entropy inequality through an entropy dissipative correction term. The resulting method can be implemented as an artificial viscosity with an extremely small viscosity coefficient. In this work, we analyze ECAV when the artificial viscosity is discretized using a local discontinuous Galerkin (LDG) method. We prove an $O(h)$ upper bound on the ECAV coefficient, indicating that ECAV does not result in a restrictive time-step condition. We additionally show that ECAV is contact preserving, and compare ECAV to traditional shock capturing artificial viscosity methods.
Source:https://arxiv.org/abs/2602.23210PreviousComputational Models for Magnetic Drug Targeting, Part 1: Derivation and Numerical Simulation of a Thermodynamically Consistent Magneto Two-phase Flow ModelNextAn immersed peridynamics method for fluid-driven damage and failure of anisotropic materials
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