NASA Technical Reports Server (NTRS) : Preconditioned pdf

NASA Technical Reports Server (NTRS) : Preconditioned

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Acceleration methods are presented for solving the steady state incompressible equations. These systems are preconditioned by introducing artificial time derivatives which allow for a faster convergence to the steady state. The compressible equations in conservation form with slow flow are also considered. Two arbitrary functions, alpha and beta, are introduced in the general preconditioning. An analysis of this system is presented and an optimal value for beta is determined given a constant, alpha. It is further shown that the resultant incompressible equations form a symmetric hyperbolic system and so are well posed. Several generalizations to the compressible equations are presented which generalize previous results

• Creator/s: NASA Technical Reports Server (NTRS
• Date: 3/1/1986
• Year: 1986
• Book Topics/Themes: NASA Technical Reports Server (NTRS), COMPRESSIBLE FLOW, COMPUTATIONAL FLUID DYNAMICS, EQUATIONS OF STATE, INCOMPRESSIBLE FLOW, HYPERBOLIC FUNCTIONS, MACH NUMBER, PRECONDITIONING, RUNGE-KUTTA METHOD, STEADY STATE, TIME MARCHING, Turkel, E

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