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In this paper, we present a mesh-free, finite-volume-like scheme designed for numerically solving conservation laws. We first derive a conservative formulation for computing mesh-free @...
Higher order discretization has not been widely successful in industrial applications to compressible flow simulation. Among several reasons for this, one may identify the lack of tailor-suited,...
Higher order discretizations have not been widely successful in industrial applications to compressible ow simulation. Among several reasons for this, one may identify the lack of tailor-suited, best-...
An efficient, high-order, conservative method named the spectral difference method has been developed recently for conservation laws on unstructured grids. It combines the best features of struc...
The Computer Systems Laboratory at Stanford University in collaboration with the Center for Integrated Turbulence Simulation is developing “Merrimac”, a new high performance computer system, based on ...
New versions of implicit algorithms are developed for the ecient solution of the Euler and Navier Stokes equations of compressible ow. The methods are based on a preconditioned, lower-upper (LU) impl...
This paper presents a technique used to accelerate the convergence of unsteady flows to a periodic steady state. The basis of this procedure is to assume the time period of the solution’s oscill...
New versions of implicit algorithms are proposed for the efficient solution of the Euler equations of com pressible flow. The methods are based on a pre conditioned, Lower-Upper (LU) implem...
An explicit finite-volume method for the Euler equations with multigrid is presented for calculating cascade flows. The method is validated against theoretical test cases of the Hobson shock-free impu...

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