Volume penalization for inhomogeneous Neumann boundary conditions modeling scalar flux in complicated geometry

DOI10.1016/j.jcp.2019.04.008zbMath1452.65301arXiv1905.03879OpenAlexW2939206958WikidataQ128065700 ScholiaQ128065700MaRDI QIDQ2221371

Teluo Sakurai, Katsunori Yoshimatsu, Kai Schneider, Naoya Okamoto

Publication date: 26 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.03879

zbMATH Keywords

Poisson equationvolume penalizationscalar fluxinhomogeneous Neumann boundary conditions

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Free convection (76R10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05)

Related Items (11)

Critique on: ``Volume penalization for inhomogeneous Neumann boundary conditions modeling scalar flux in complicated geometry ⋮ Improving accuracy of volume penalised fluid-solid interactions ⋮ Corrigendum to: ``Volume penalization for inhomogeneous Neumann boundary conditions modeling scalar flux in complicated geometry ⋮ Immersed boundary method for high-order flux reconstruction based on volume penalization ⋮ Handling Neumann and Robin boundary conditions in a fictitious domain volume penalization framework ⋮ Eigensolution analysis of immersed boundary method based on volume penalization: applications to high-order schemes ⋮ Analysis of Obstacles Immersed in Viscous Fluids Using Brinkman's Law for Steady Stokes and Navier--Stokes Equations ⋮ A pseudo-spectral based efficient volume penalization scheme for Cahn-Hilliard equation in complex geometries ⋮ A modified equation analysis for immersed boundary methods based on volume penalization: applications to linear advection-diffusion equations and high-order discontinuous Galerkin schemes ⋮ Neumann boundary value problem for the Beltrami equation in a ring domain ⋮ An effective preconditioning strategy for volume penalized incompressible/low Mach multiphase flow solvers

Cites Work

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• IMMERSED BOUNDARY METHODS
• The immersed boundary method

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