Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system

Steve Bryson, Yekaterina Epshteyn, Alexander Kurganov, Guergana Petrova
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