3D automatic Cartesian grid generation for Euler flows

Abstract

We describe a Cartesian grid strategy for the study of three dimensional inviscid flows about arbitrary geometries that uses both conventional and CAD/CAM surface geometry databases. Initial applications of the technique are presented. The elimination of the body-fitted constraint allows the grid generation process to be automated, significantly reducing the time and effort required to develop suitable computational grids for inviscid flowfield simulations.

A Cartesian, cell-based approach for adaptively-refined solutions of the Euler and Navier-Stokes equations

“…The Cartesian, cell-based approach has been demonstrated extensively for a wide variety of inviscid flows [11,8,9,16,15,19,22,23] and has been assessed for accu- …”

“…The Cartesian, cell-based approach has been used for solving a variety of problems, and variants of the approach have proven to be quite useful for computing both unsteady [6,7,26,27,5,10,25]and steady [11,8,9,16,15,19,22] …”

A stable projection method for the incompressible Navier–Stokes equations on arbitrary geometries and adaptive Quad/Octrees

“…[8,31,60,7]), or unstructured meshes (see e.g. [65,33,44,42,43]). Large parallel codes have also been written and used in commercial applications, e.g.…”

A 3D Anisotropic Cartesian Grid Generation Method and its Applications in Viscosity Flows

“…The existing Cartesian grids CFD software often work with Euler and potential equations and not suitable for viscous flow [1,2]. Viscous Cartesian grid and NS equation are essential for viscous flow simulations.…”