Comparison of strongly implicit procedures for the solution of the fluid flow equations in finite difference form

作者: J.L.T. Azevedo , F. Durst , J.C.F. Pereira

DOI: 10.1016/0307-904X(88)90023-6

关键词: Simultaneous equationsStone methodFinite difference methodEuler equationsMathematical analysisDiscretizationNonlinear systemIndependent equationCoefficient matrixMathematics

摘要: Abstract In this paper the iterative solution of system algebraic equations resulting from discretization convective and diffusive terms fluid flow is investigated. Several five- nine-point schemes are considered. A strongly implicit procedure described that solves finite difference associated with quadratic upstream weighted scheme for equations. comparison method other versions five-point procedures performed linear nonlinear problems. Comparison computing costs between solutions systems nine five diagonals in coefficient matrix, respectively, indicates only a small saving nine-diagonal system.

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