A novel multidimensional solution reconstruction and edge-based limiting procedure for unstructured cell-centered finite volumes with application to shallow water dynamics

Performance and Comparison of Cell-Centered and Node-Centered Unstructured Finite Volume Discretizations for Shallow Water Free Surface Flows

(2011) A. I. Delis et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Well-balanced RKDG2 solutions to the shallow water equations over irregular domains with wetting and drying

(2010) Georges Kesserwani et al.   COMPUTERS & FLUIDS

Monoslope and multislope MUSCL methods for unstructured meshes

(2010) Thierry Buffard et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Application of the principle of minimizing the derivative to the construction of finite-difference schemes for computing discontinuous solutions of gas dynamics

(2010) V.P. Kolgan   JOURNAL OF COMPUTATIONAL PHYSICS

L ∞ stability of the MUSCL methods

(2010) Stéphane Clain et al.   NUMERISCHE MATHEMATIK

An unstructured node-centered finite volume scheme for shallow water flows with wet/dry fronts over complex topography

(2009) I.K. Nikolos et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A wetting and drying treatment for the Runge–Kutta discontinuous Galerkin solution to the shallow water equations

(2009) Shintaro Bunya et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids

(2009) Jin Seok Park et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Adaptive quadtree simulation of shallow flows with wet–dry fronts over complex topography

(2008) Qiuhua Liang et al.   COMPUTERS & FLUIDS

Stabilized residual distribution for shallow water simulations

(2008) Mario Ricchiuto et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Adaptive Godunov-Based Model for Flood Simulation

(2008) Lorenzo Begnudelli et al.   JOURNAL OF HYDRAULIC ENGINEERING

Nonlinear Shallow Water Equation Modeling for Coastal Engineering

(2008) Maurizio Brocchini et al.   JOURNAL OF WATERWAY PORT COASTAL AND OCEAN ENGINEERING

A robust high-resolution finite volume scheme for the simulation of long waves over complex domains

(2007) A. I. Delis et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

A well-balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying

(2007) A. Ern et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS