For solving time-dependent convection-dominated partial differential equations (PDEs),
which arise frequently in computational physics, high order numerical methods, including …

This paper reviews the use of direct numerical simulation (DNS) models for the study of
mass, momentum and heat transfer phenomena prevailing in dense gas–solid flows. In …

We present a numerical method for solving Poisson's equation, with variable coefficients
and Dirichlet boundary conditions, on two-dimensional regions. The approach uses a finite …

A new gridding technique for the solution of partial differential equations in spherical
geometry is presented. The method is based on a decomposition of the sphere into six …

A new kind of overset grid, named Yin‐Yang grid, for spherical geometry is proposed. The
Yin‐Yang grid is composed of two identical component grids that are combined in a …

In this paper a novel simulation technique is presented to perform Direct Numerical
Simulation (DNS) of fluid flow and heat transfer in dense fluid–particle systems. The unique …

Mesh generation has evolved to the point where highly complicated domains can be
covered by a variety of mesh types including hexahedral, tetrahedral and overset meshes …

ROSE is a preprocessor generation tool for the support of compile time performance
optimizations of general object-oriented frameworks. Within this work ROSE is being applied …

A method is described to solve the time-dependent incompressible Navier-Stokes equations
with finite differences on curvilinear overlapping grids in two or three space dimensions. The …

This work investigates the coupling of a very high-order finite-difference algorithm for the
solution of conservation laws on general curvilinear meshes with overset-grid techniques …