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Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system
2010
Mathematical Modelling and Numerical Analysis
Change of conservative variables from (h, hu, hv) T to (w := h + B, hu, hv) T • Replacement of the bottom topography function B with its continuous piecewise linear (or bilinear in the 2-D case) approximation • Special positivity preserving correction of the piecewise linear reconstruction for the water surface w • Development of a special finite-volume-type quadrature for the discretization of the cell averages of the geometric source term.
doi:10.1051/m2an/2010060
fatcat:n5xgqsddlvd2zlwxbknl3vmfai