NASA Technical Reports Server (NTRS) : A pdf

NASA Technical Reports Server (NTRS) : A

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Description of the Book:

A new approach is devised to construct high order CESE schemes which would avoid the common shortcomings of traditional high order schemes including: (a) susceptibility to computational instabilities; (b) computational inefficiency due to their local implicit nature (i.e., at each mesh points, need to solve a system of linear/nonlinear equations involving all the mesh variables associated with this mesh point); (c) use of large and elaborate stencils which complicates boundary treatments and also makes efficient parallel computing much harder; (d) difficulties in applications involving complex geometries; and (e) use of problem-specific techniques which are needed to overcome stability problems but often cause undesirable side effects. In fact it will be shown that, with the aid of a conceptual leap, one can build from a given 2nd-order CESE scheme its 4th-, 6th-, 8th-,… order versions which have the same stencil and same stability conditions of the 2nd-order scheme, and also retain all other advantages of the latter scheme.

A sketch of multidimensional extensions will also be provided

• Creator/s: NASA Technical Reports Server (NTRS
• Date: 8/1/2010
• Year: 2010
• Book Topics/Themes: NASA Technical Reports Server (NTRS), COMPUTATIONAL GRIDS, PARALLEL PROCESSING (COMPUTERS), LINEAR EQUATIONS, STABILITY, BOUNDARIES, NONLINEAR EQUATIONS, Chang, Sin-Chung

An excerpt captured from the PDF book