Abstract
AbstractA higher‐resolution and bounded discretization scheme is proposed for calculations of incompressible steady flows with finite‐volume methods. The scheme combines a second‐order upstream‐weighted approximation with the first‐order upwind differencing under the control of a convection boundedness criterion. It is easy to implement for calculations of multi‐dimensional flows, and the resulting finite‐difference coefficient matrix is always diagonally dominant. Applications to three test problems, two linear and one non‐linear, and comparisons with two commonly used schemes, hybrid upwind/central differencing and QUICK, demonstrate the capability of the method in capturing steep gradients while maintaining the boundedness of solutions.
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