We develop a fractional extension of a mass-conserving Allen–Cahn phase field model that
describes the mixture of two incompressible fluids. The fractional order controls the …

The objective of this paper is to show that anisotropic meshes with highly stretched elements
can be used to compute high Reynolds number flows. In particular, it will be shown that …

We implement the Direction-Splitting solver originally proposed by Keating and Minev in
2013 and allow complex geometries to be described by a triangulation defined in STL files …

We introduce in this paper a new direction splitting algorithm for solving the incompressible
Navier–Stokes equations. The main originality of the method consists of using the operator …

This volume deals with the classical Navier-Stokes system of equations governing the
planar flow of incompressible, viscid fluid. It is a first-of-its-kind book, devoted to all aspects …

A numerical method for a kind of time-dependent two-dimensional two-sided space
fractional diffusion equations is developed in this paper. The proposed method combines a …

In this paper we develop a high-order time step** technique for the incompressible Navier-
-Stokes equations. The method is based on an artificial compressibility perturbation made …

Abstract The Direction Splitting algorithm is a computational method that facilitates the
solution of the Navier–Stokes equation by decomposing a multi-dimensional Poisson …

We propose an efficient algorithm for the immersed boundary method on distributed-memory
architectures that has the computational complexity of a completely explicit method and also …

Particle-resolved direct numerical flow solvers predominantly use a projection method to
decouple the non-linear mass and momentum conservation equations. The computing …