A Positivity-Preserving Finite Volume Scheme for Nonequilibrium Radiation Diffusion Equations on Distorted Meshes [PDF]
Entropy, 2022 In this paper, we propose a new positivity-preserving finite volume scheme with fixed stencils for the nonequilibrium radiation diffusion equations on distorted meshes.
Di Yang, Gang Peng, Zhiming Gao
doaj +2 more sources
Positivity-Preserving Hybridizable Discontinuous Galerkin Scheme for Solving PNP Model [PDF]
EntropyWe introduce a hybridizable discontinuous Galerkin (HDG) scheme for solving the Poisson–Nernst–Planck (PNP) equations. The log-density formulation as introduced by Metti et al. in their paper “Energetically stable discretizations for charge transport and
Diana Morales, Zhiliang Xu
doaj +2 more sources
A positivity-preserving scheme for fluctuating hydrodynamics
Journal of Computational Physics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F. Magaletti +4 more
semanticscholar +4 more sources
Stability analysis and numerical simulation of nonlocal extended epidemic models using positivity-preserving scheme [PDF]
Scientific ReportsIn this paper we introduce a robust numerical framework for simulating the nonlocal extended epidemic models that incorporate the fractional diffusion to capture the complex spatial–temporal dynamics of disease spread. The presented numerical scheme uses
Muhammad Yousuf, Narjes Alshakhoury
doaj +2 more sources
A Positivity-Preserving Relaxation Algorithm
CoRRWe combine Patankar-type methods with suitable relaxation procedures that are capable of ensuring correct dissipation or conservation of functionals such as entropy or energy while producing unconditionally positive and conservative approximations.
Thomas Izgin +2 more
semanticscholar +3 more sources
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential [PDF]
Mathematics of Computation, 2023 A finite difference numerical scheme is proposed and analyzed for the Cahn-Hilliard-Stokes system with Flory-Huggins energy functional. A convex splitting is applied to the chemical potential, which in turns leads to the implicit treatment for the ...
Yunzhuo Guo +3 more
semanticscholar +1 more source
A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations [PDF]
Journal of Computational Physics, 2023 In this paper, we are interested in constructing a scheme solving compressible Navier--Stokes equations, with desired properties including high order spatial accuracy, conservation, and positivity-preserving of density and internal energy under a ...
Chen Liu, Xiangxiong Zhang
semanticscholar +1 more source
Analysis of a positivity-preserving splitting scheme for some nonlinear stochastic heat equations [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2023 We construct a positivity-preserving Lie--Trotter splitting scheme with finite difference discretization in space for approximating the solutions to a class of semilinear stochastic heat equations with multiplicative space-time white noise. We prove that
Charles-Edouard Br'ehier +2 more
semanticscholar +1 more source
Positivity-preserving and entropy-bounded discontinuous Galerkin method for the chemically reacting, compressible Navier-Stokes equations [PDF]
Journal of Computational Physics, 2023 This article concerns the development of a fully conservative, positivity-preserving, and entropy-bounded discontinuous Galerkin scheme for the multicomponent, chemically reacting, compressible Navier-Stokes equations with complex thermodynamics.
E. Ching +4 more
semanticscholar +1 more source
Journal of Computational Physics, 2021 Chuan Fan, Xiangxiong Zhang, J. Qiu
semanticscholar +3 more sources