2009 journal article

A hybrid building-block and gridless method for compressible flows

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 59(4), 459–474.

By: H. Luo n, J. Baum* & R. Loehner

co-author countries: United States of America 🇺🇸
author keywords: Cartesian grid methods; gridless methods; building-block methods; Euler equations; unsteady compressible flows; shock waves
Source: Web Of Science
Added: August 6, 2018

Abstract A hybrid building‐block Cartesian grid and gridless method is presented to compute unsteady compressible flows for complex geometries. In this method, a Cartesian mesh based on a building‐block grid is used as a baseline mesh to cover the computational domain, while the boundary surfaces are represented using a set of gridless points. This hybrid method combines the efficiency of a Cartesian grid method and the flexibility of a gridless method for the complex geometries. The developed method is used to compute a number of test cases to validate the accuracy and efficiency of the method. The numerical results obtained indicate that the use of this hybrid method leads to a significant improvement in performance over its unstructured grid counterpart for the time‐accurate solution of the compressible Euler equations. An overall speed‐up factor from six to more than one order of magnitude and a saving in storage requirements up to one order of magnitude for all test cases in comparison with the unstructured grid method are demonstrated. Copyright © 2008 John Wiley & Sons, Ltd.