Critique on: ``Volume penalization for inhomogeneous Neumann boundary conditions modeling scalar flux in complicated geometry

DOI10.1016/j.jcp.2021.110163OpenAlexW3127865318MaRDI QIDQ2120751

Amneet Pal Singh Bhalla, Ramakrishnan Thirumalaisamy, Nishant Nangia

Publication date: 1 April 2022

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

Full work available at URL: https://arxiv.org/abs/2101.12458

zbMATH Keywords

Poisson equationimmersed boundary methodcomplex domainsembedded boundary methodBrinkman penalization methodspatial order of accuracy

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Incompressible viscous fluids (76Dxx)

Related Items (7)

A one-sided direct forcing immersed boundary method using moving least squares ⋮ 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 ⋮ Analysis of Obstacles Immersed in Viscous Fluids Using Brinkman's Law for Steady Stokes and Navier--Stokes Equations ⋮ An effective preconditioning strategy for volume penalized incompressible/low Mach multiphase flow solvers ⋮ A combined volume penalization/selective frequency damping approach for immersed boundary methods applied to high-order schemes

Uses Software

• IBAMR

Cites Work

• A characteristic based volume penalization method for general evolution problems applied to compressible viscous flows
• A volume penalization method for incompressible flows and scalar advection-diffusion with moving obstacles
• Modeling and simulation of fish-like swimming
• A penalization method to take into account obstacles in incompressible viscous flows
• Volume penalization for inhomogeneous Neumann boundary conditions modeling scalar flux in complicated geometry
• A robust incompressible Navier-Stokes solver for high density ratio multiphase flows
• A DLM immersed boundary method based wave-structure interaction solver for high density ratio multiphase flows
• A penalization method for the simulation of weakly compressible reacting gas-particle flows with general boundary conditions
• Analysis and discretization of the volume penalized Laplace operator with Neumann boundary conditions

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