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A cartesian grid
embedded boundary method for the compressible Navier–Stokes
equations
Daniel T. Graves, Phillip Colella, David Modiano, Jeffrey Johnson, Bjorn Sjogreen and Xinfeng Gao |
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Vol. 8 (2013), No. 1, 99–122
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Abstract |
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We present an unsplit method for the time-dependent compressible Navier–Stokes equations in two and three dimensions. We use a conservative, second-order Godunov algorithm. We use a Cartesian grid, embedded boundary method to resolve complex boundaries. We solve for viscous and conductive terms with a second-order semiimplicit algorithm. We demonstrate second-order accuracy in solutions of smooth problems in smooth geometries and demonstrate robust behavior for strongly discontinuous initial conditions in complex geometries. |
Keywords
Cartesian grid embedded boundaries, compressible
Navier–Stokes, block-structured adaptive mesh refinement
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Mathematical Subject Classification 2010
Primary: 76-04
Secondary: 35-04
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Milestones
Received: 23 January 2013
Revised: 30 September 2013
Accepted: 8 October 2013
Published: 15 December 2013
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Authors |
| Daniel T. Graves | |
| Applied Numerical Algorithms
Group Lawrence Berkeley National Laboratory 1 Cyclotron Road MS 50A-1148 Berkeley, CA 94720 United States |
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| Phillip Colella | |
| Applied Numerical Algorithms
Group Lawrence Berkeley National Laboratory 1 Cyclotron Road MS 50A-1148 Berkeley, CA 94720 United States |
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| David Modiano | |
| Sanzaru Games, Inc. 323B Vintage Park Drive Foster City, CA 94404 United States |
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| Jeffrey Johnson | |
| Applied Numerical Algorithms
Group Lawrence Berkeley National Laboratory 1 Cyclotron Road MS 50A-1148 Berkeley, CA 94720 United States |
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| Bjorn Sjogreen | |
| Center for Applied Scientific
Computing Lawrence Livermore National Laboratory Box 808, L-422 Livermore, CA 94551-0808 United States |
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| Xinfeng Gao | |
| Department of Mechanical
Engineering Colorado State University Fort Collins, CO 80523 United States |
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