We present a numerical scheme for approximating the incompressible Navier-Stokes
equations based on an auxiliary variable associated with the total system energy. By …

Multiblock‐structured meshes have significant advantages over fully unstructured meshes in
numerical simulation, but automatically generating these meshes is considerably more …

We present an unconditionally energy-stable scheme for approximating the incompressible
Navier–Stokes equations on domains with outflow/open boundaries. The scheme combines …

This paper presents an efficient, low memory cost, implicit finite volume lattice Boltzmann
method (FVLBM) based on conservation moments acceleration for steady nearly …

We present an energy-stable scheme for simulating the incompressible Navier-Stokes
equations based on the generalized Positive Auxiliary Variable (gPAV) framework. In the …

Abstract The Ladyženskaja–Babuška–Brezzi (LBB) condition is a necessary condition for
the well-posedness of discrete saddle point problems stemming from discretizing the Stokes …

We numerically study the Stokes eigen-modes in two dimensions on isosceles triangles with
apex angle θ= π/3, π/2, and 2π/3 by using two spectral solvers, ie, a Lagrangian collocation …

In the present paper, a matrix-free, implicit finite volume lattice Boltzmann method for steady
flow on unstructured mesh is proposed. The approximate linear system arising from the …

The Stokes eigenmodes on two-dimensional regular polygons of N apexes, 3≤ N≤ 40, are
studied numerically using two different solvers: the lattice Boltzmann equation and the …

In this paper, we study a spectral method for the triangular prism. We construct an
approximation space in the “pole” condition in which the integral singularity is removed in a …