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Showing 1 to 4 of 4 for “"High order finite difference methods"”.
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Time-stable high-order finite difference methods for overset grids
… and flexible framework for implementing high-order finite difference methods to simulate compressible viscous flows over complex geometries. Although overset methods have been widely used to solve time-dependent partial differential equations, very few proofs of stability exist for them. …
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The application of high order finite difference methods to the diffusion-convection equation
… a porous medium is approximated numerically with high order finite difference methods using five adjacent space node points by the Crank - Nicolson formulation. This method is referred to as the 5PFDM. It has fourth order correctness in space truncation error and shows good approximation to the …
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Stable numerical methods for hyperbolic partial differential equations using overlapping domain decomposition
Overlapping domain decomposition methods, otherwise known as overset or chimera methods, are useful approaches for simplifying the discretizations of partial differential equations in or around complex geometries. While in wide use, the methods are prone to numerical instability unless numerical …
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High order numerical methods applied to the analysis of transport phenomena in combustion
High order numerical methods present the desirable property of having much less error than second order methods for the same number of nodes, or degrees of freedom. This makes them very attractive for applications like computational acoustics and aeroacoustics, prediction of transition or direct …