A hybrid building‐block and gridless method for compressible flows |
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| Authors: | Hong Luo Joseph D Baum Rainald Löhner |
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| Institution: | 1. Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC 27695, U.S.A.;2. Associate Professor.;3. Center for Applied Computational Sciences, Science Applications International Corporation, McLean, VA 22102, U.S.A.;4. Director.;5. School of Computational Sciences, George Mason University, Fairfax, VA 22030, U.S.A.;6. Professor. |
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| 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. |
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| Keywords: | Cartesian grid methods gridless methods building‐block methods Euler equations unsteady compressible flows shock waves |
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