We present a novel staggered semi-implicit hybrid finite volume/finite element method for the
numerical solution of the shallow water equations at all Froude numbers on unstructured …

We extend recently proposed flux globalization based well-balanced path-conservative
central-upwind schemes to several shallow water models including the Saint-Vevant system …

We develop a flux globalization based well-balanced path-conservative central-upwind
scheme for the two-layer thermal rotating shallow water (TRSW) equations, which arise in …

We present an extension of the flux globalization based well-balanced pathconservative
central-upwind scheme to the one-and two-dimensional thermal rotating shallow water …

In this paper, we introduce a new approach for constructing robust well-balanced (WB) finite-
volume methods for nonconservative one-dimensional hyperbolic systems of nonlinear …

In the context of preserving stationary states, eg lake at rest and moving equilibria, a new
formulation of the shallow water system, called flux globalization has been introduced by …

We present a novel formulation of the discontinuous Galerkin spectral element method for
solving balance laws, with application to the shallow water equations. The scheme …

In this work, the high order accuracy and the well-balanced (WB) properties of some novel
continuous interior penalty (CIP) stabilizations for the Shallow Water (SW) equations are …

In this paper, we introduce a novel approach for constructing robust, fully well-balanced
numerical methods for the one-dimensional Saint-Venant system, both with and without the …

Hydrodynamic flood models improve the hydrologic and hydraulic prediction of storm
events. However, the computationally intensive numerical solutions required for 2D …