A direction splitting algorithm for incompressible flow in complex geometries

DOI10.1016/j.cma.2012.01.011zbMath1253.76021OpenAlexW1969664358MaRDI QIDQ695819

Peter D. Minev, Johnwill Keating, Philippe Angot

Publication date: 17 December 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2012.01.011

zbMATH Keywords

Navier-Stokes equationsfictitious domain methodsdirection splitting

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

High-order time stepping for the Navier-Stokes equations with minimal computational complexity ⋮ A fast algorithm for direct simulation of particulate flows using conforming grids ⋮ An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies ⋮ An efficient parallel immersed boundary algorithm using a pseudo-compressible fluid solver

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A volume penalization method for incompressible flows and scalar advection-diffusion with moving obstacles
• A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations
• Alternating direction methods for three space variables
• Relationship between the truncation errors of centered finite-difference approximations on uniform and nonuniform meshes
• An unimprovable estimate of the convergence rate in the fictitious domain method for the Navier-Stokes equations
• A new class of fractional step techniques for the incompressible Navier-Stokes equations using direction splitting
• Numerical analysis of blood flow in the heart
• An overview of projection methods for incompressible flows
• Splitting methods in partial differential equations
• Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• A Variable Mesh Finite Difference Method for Solving a Class of Parabolic Differential Equations in One Space Variable
• On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
• Spectral Direction Splitting Schemes for the Incompressible Navier-Stokes Equations
• A distributed Lagrange multiplier/fictitious domain method for particulate flows
• Another Alternating-Direction-Implicit Method
• Non-iterative numerical solution of boundary-value problems

This page was built for publication: A direction splitting algorithm for incompressible flow in complex geometries