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Last Update:
July 31, 2007

Compressible Fluid Flow
Dr. Xiuling Wang, Dr. Darrell W. Pepper, Dr. Dave Carrington, Dr.Tim deBues

The finite element method is being employed to develop a compressible flow model that solves both the Euler Equations and viscous equations in two and three dimensions. The numerical method incorporates the use of bilinear, isoparametric, quadrilateral elements and trilinear, hexahedral elements, as well as the use of Petrov-Galerkin weighting applied to the advection terms. Mass lumping allows an explicit Euler scheme to be used in conjunction with a second-order Runge-Kutta approximation to advance the discretized equations in time. The use of h-adaptive mesh refinement increases the solution accuracy by locating shocks more efficiently than a globally fine mesh. Two-dimensional results agree well with theoretical solutions. Three-dimensional code verification is currently underway. Ultimately, chemistry effects at high Mach numbers will be examined and parallel computational methods will be incorporated.

Sponsor: DOE, DHS

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