Divergence-free radial kernel for surface Stokes equations based on the surface Helmholtz decomposition

DOI10.1016/j.cpc.2020.107408zbMath1525.76030OpenAlexW3032415890MaRDI QIDQ6040080

Zihuan Dai, Xinlong Feng, Zhiming Gao, Jingwei Li

Publication date: 24 May 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2020.107408

zbMATH Keywords

radial basis functionsurface Stokes equationssurface Helmholtz decompositiondivergence-free radial kernelpressure Laplace equation

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical radial basis function approximation (65D12)

Related Items (3)

Efficient and practical phase-field method for the incompressible multi-component fluids on 3D surfaces with arbitrary shapes ⋮ Numerical study of incompressible binary fluids on 3D curved surfaces based on the conservative Allen-Cahn-Navier-Stokes model ⋮ Modeling and numerical simulation of surfactant systems with incompressible fluid flows on surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• A stabilized implicit fractional-step method for the time-dependent Navier-Stokes equations using equal-order pairs
• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations
• Galerkin finite element methods for parabolic problems
• A continuum theory of elastic material surfaces
• Conditionally positive definite functions and their application to multivariate interpolations
• Incompressible fluid problems on embedded surfaces: modeling and variational formulations
• Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term
• The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle
• A layers capturing type H-adaptive finite element method for convection-diffusion-reaction equations on surfaces
• Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method
• An efficient time adaptivity based on chemical potential for surface Cahn-Hilliard equation using finite element approximation
• An overview of projection methods for incompressible flows
• Divergence-free RBFs on surfaces
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• GePUP: generic projection and unconstrained PPE for fourth-order solutions of the incompressible Navier-Stokes equations with no-slip boundary conditions
• Vorticity and Incompressible Flow
• A High-Order, Analytically Divergence-Free Approximation Method for the Time-Dependent Stokes Problem
• A finite element approach to incompressible two-phase flow on manifolds
• Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates
• A radial basis function method for computing Helmholtz–Hodge decompositions
• Multivariate Interpolation and Conditionally Positive Definite Functions. II
• A Rescaled Localized Radial Basis Function Interpolation on Non-Cartesian and Nonconforming Grids
• The Interplay of Curvature and Vortices in Flow on Curved Surfaces
• Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem

This page was built for publication: Divergence-free radial kernel for surface Stokes equations based on the surface Helmholtz decomposition