Abstract
ABSTRACTThe following study introduces an algorithm for numerically solving a coupled system of differential equations that discretize to produce a banded pentadiagonal matrix with tridiagonal submatrices on either side. The article then proceeds to illustrate a step-by-step procedure to solve a two-equation system in a coupled manner. A generalization of this method to multiequation system follows. The proposed algorithm is highly efficient as it fully exploits the banded nature of the matrix. Finally, the solution of the two-equation k − ω and the four-equation turbulence models in plane channel flows by the current method serves as a demonstration exercise and wraps up the paper.
Published Version
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