An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains (Q2133064)

scientific article; zbMATH DE number 7515874

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English	An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains	scientific article; zbMATH DE number 7515874

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instance of

scholarly article

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title

An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains (English)

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Journal of Computational Physics

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publication date

29 April 2022

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full work available at URL

https://arxiv.org/abs/2011.06715

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zbMATH Keywords

radial basis function

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high-order method

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meshfree

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advection-diffusion

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RBF-FD

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semi-Lagrangian

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describes a project that uses

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Implicit-Explicit Methods for Time-Dependent Partial Differential Equations

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Comparison of moving least squares and RBF+poly for interpolation and derivative approximation

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On the role of polynomials in RBF-FD approximations. III: Behavior near domain boundaries

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On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs

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RBF-FD formulas and convergence properties

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Grid-free adaptive semi-Lagrangian advection using radial basis functions

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Numerical solution of saddle point problems

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Q3530188

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Semi-Lagrangian Methods for Parabolic Problems in Divergence Form

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Flux form semi-Lagrangian methods for parabolic problems

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A fully Lagrangian advection scheme

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A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries

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A fast immersed boundary method using a nullspace approach and multi-domain far-field boundary conditions

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Adaptive meshless centres and RBF stencils for Poisson equation

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Minimal numerical differentiation formulas

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The Weighted Particle Method for Convection-Diffusion Equations. Part 1: The Case of an Isotropic Viscosity

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On algorithms for permuting large entries to the diagonal of a sparse matrix

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Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations

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Convergence Analysis for a Class of High-Order Semi-Lagrangian Advection Schemes

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Semi-Lagrangian schemes for Hamilton-Jacobi equations, discrete representation formulae and Godunov methods

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Q3446085

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Enhancing finite differences with radial basis functions: experiments on the Navier-Stokes equations

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On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy

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A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere

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Transport schemes on a sphere using radial basis functions

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A radial basis function method for the shallow water equations on a sphere

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Stabilization of RBF-generated finite difference methods for convective PDEs

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A high-order kernel method for diffusion and reaction-diffusion equations on surfaces

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Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies

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Modeling a no-slip flow boundary with an external force field

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A Cartesian grid embedded boundary method for Poisson's equation on irregular domains

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An immersed-boundary finite volume method for simulations of flow in complex geometries

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A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces

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Grow with the flow: a spatial-temporal model of platelet deposition and blood coagulation under flow

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The influence of hindered transport on the development of platelet thrombi under flow

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A Cartesian grid embedded boundary method for the heat equation on irregular domains

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Flow patterns around heart valves: A numerical method

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Numerical analysis of blood flow in the heart

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The immersed boundary method

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The orthogonal gradients method: a radial basis functions method for solving partial differential equations on arbitrary surfaces

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Parallel iterative methods for sparse linear systems

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The overlapped radial basis function-finite difference (RBF-FD) method: a generalization of RBF-FD

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Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations

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Robust Node Generation for Mesh-free Discretizations on Irregular Domains and Surfaces

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RBF-LOI: augmenting radial basis functions (RBFs) with least orthogonal interpolation (LOI) for solving PDEs on surfaces

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Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions

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A radial basis function (RBF) finite difference method for the simulation of reaction–diffusion equations on stationary platelets within the augmented forcing method

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A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces

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Augmenting the immersed boundary method with Radial Basis Functions (RBFs) for the modeling of platelets in hemodynamic flows

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A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds

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Aspects of the dynamical core of a nonhydrostatic, deep-atmosphere, unified weather and climate-prediction model

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Immersed boundary smooth extension: a high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods

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Immersed boundary smooth extension (IBSE): a high-order method for solving incompressible flows in arbitrary smooth domains

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A scalable consistent second-order SPH solver for unsteady low Reynolds number flows

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Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids

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Scattered Data Approximation

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Scattered node compact finite difference-type formulas generated from radial basis functions

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A semi-Lagrangian high-order method for Navier-Stokes equations

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Simulations of chemical transport and reaction in a suspension of cells I: an augmented forcing point method for the stationary case

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An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2021.110633

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Sitelinks

Mathematics(1 entry)

mardi Publication:2133064