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High-resolution nonoscillatory central schemes with nonstaggered grids for hyperbolic conservation laws. (English) Zbl 0920.65053
The authors present a general procedure to convert schemes which are based on staggered spatial grids into nonstaggered schemes. Using this procedure they construct a new family of nonstaggered central schemes for hyperbolic conservation laws by converting the family of staggered central schemes. The new central schemes avoid staggered grids and hence are simpler to implement in the framework of complex geometries and boundary conditions.

MSC:
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
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