An adaptively-refined Cartesian mesh solver for the Euler equations

An Adaptively-Refined Cartesian Mesh Solver for the Euler Equations

A method for adaptive refinement of a Cartesian mesh for the solution of the steady Euler equations is presented. The algorithm creates an initial uniform mesh and cuts the body out of that mesh. The mesh is then refined based on body curvature. Next, the solution is converged to a steady state using a linear reconstruction and Roe's a p proximate Riemann solver. Solution-adaptive refinement of...

AIAA 92 - 0443 Simulation of Unsteady Inviscid Flow on an Adaptively Refined Cartesian Grid

4 method for adaptive refinement of a Cartesian mesh and corresponding time-step adaptation, for the solution of the unsteady Euler equations, is presented. In this work, a linear reconstruction of distributions inside cells, and Roe’s approximate Riemann solver for interface fluxes, are used. 11ie wave strengths dnd s a v e speeds needed for the fiux calculation are reused in various ways. In ...

An Embedded Cartesian Grid Euler Solver with Radial Basis Function for Boundary Condition Implementation

A Cartesian grid approach for the solution of the Euler equations within the framework of a patched, embedded Cartesian field mesh is described. As Cartesian grids are not necessarily body-aligned, an accurate representation for the surface boundary is important. In this paper a gridless boundary treatment using a cloud of nodes in the vicinity of the body combined with the multiquadric radial ...

A Domain-Decomposed Multilevel Method for Adaptively Refined Cartesian Grids with Embedded Boundaries

Preliminary verification and validation of an efficient Euler solver for adaptively refined Carte-sian meshes with embedded boundaries is presented. The parallel, multilevel method makes use of a new on-the-fly parallel domain decomposition strategy based upon the use of space-filling curves, and automatically generates a sequence of coarse meshes for processing by the multigrid smoother. The c...

AIAA 2000-0808 A Parallel Multilevel Method for Adaptively Refined Cartesian Grids with Embedded Boundaries