Very high-order Cartesian-grid finite difference method on arbitrary geometries

DOI10.1016/j.jcp.2021.110217OpenAlexW3045888080WikidataQ114163470 ScholiaQ114163470MaRDI QIDQ2124007

Yanyan Li

Publication date: 14 April 2022

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

Full work available at URL: https://arxiv.org/abs/2007.14680

zbMATH Keywords

finite differencevery high-orderarbitrary geometriesROD polynomial

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 (6)

Very high-order accurate finite volume scheme for the steady-state incompressible Navier-Stokes equations with polygonal meshes on arbitrary curved boundaries ⋮ High-order immersed boundary method for inviscid flows applied to flux reconstruction method on a hierarchical Cartesian grid ⋮ A finite-difference ghost-point multigrid method for multi-scale modelling of sorption kinetics of a surfactant past an oscillating bubble ⋮ A fast sine transform accelerated high-order finite difference method for parabolic problems over irregular domains ⋮ Very high-order finite difference method on arbitrary geometries with Cartesian grids for non-linear convection diffusion reaction equations ⋮ A combined volume penalization/selective frequency damping approach for immersed boundary methods applied to high-order schemes

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