Author: A. Baeza; R. Donat; A. Martinez-Gavara;

Title: A numerical treatment of wet/dry zones in well-balanced hybrid schemes for shallow water flow

Journal: APPLIED NUMERICAL MATHEMATICS

Volume: 62

Page: 264 - 277

Year: 2012


Author: Valerio Caleffi;

Title: A new well-balanced Hermite weighted essentially non-oscillatory scheme for shallow water equations

Journal: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Volume: 67

Page: 1135 - 1159

Year: 2011


Author: Yulong Xing; Chi-Wang Shu;

Title: High-order finite volume WENO schemes for the shallow water equations with dry states

Journal: ADVANCES IN WATER RESOURCES

Volume: 34

Page: 1026 - 1038

Year: 2011


Author: A. Martinez-Gavara; R. Donat;

Title: A Hybrid Second Order Scheme for Shallow Water Flows

Journal: JOURNAL OF SCIENTIFIC COMPUTING

Volume: 48

Page: 241 - 257

Year: 2011


Author: Steve Bryson; Yekaterina Epshteyn; Alexander Kurganov; Guergana Petrova;

Title: WELL-BALANCED POSITIVITY PRESERVING CENTRAL-UPWIND SCHEME ON TRIANGULAR GRIDS FOR THE SAINT-VENANT SYSTEM

Journal: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Volume: 45

Page: 423 - 446

Year: 2011


Author: Yulong Xing; Xiangxiong Zhang; Chi-Wang Shu;

Title: Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations

Journal: ADVANCES IN WATER RESOURCES

Volume: 33

Page: 1476 - 1493

Year: 2010


Author: Qunlei Jiang; Zhilin Li; Sharon R. Lubkin;

Title: Analysis and Computation for a Fluid Mixture Model

Journal: COMMUNICATIONS IN COMPUTATIONAL PHYSICS

Volume: 5

Page: 620 - 634

Year: 2009


Author: Rabih Ghostine; Georges Kesserwani; Jose Vazquez; Nicolas Riviere; Abdellah Ghenaim; Robert Mose;

Title: Simulation of supercritical flow in crossroads: Confrontation of a 2D and 3D numerical approaches to experimental results

Journal: COMPUTERS & FLUIDS

Volume: 38

Page: 425 - 432

Year: 2009


Author: Vicent Caselles; Rosa Donat; Gloria Haro;

Title: Flux-gradient and source-term balancing for certain high resolution shock-capturing schemes

Journal: COMPUTERS & FLUIDS

Volume: 38

Page: 16 - 36

Year: 2009


Author: Guoxi Ni; Song Jiang; Kun Xu;

Title: A DGBGK scheme based on WENO limiters for viscous and inviscid flows

Journal: JOURNAL OF COMPUTATIONAL PHYSICS

Volume: 227

Page: 5799 - 5815

Year: 2008


Author: G. Kesserwani; R. Ghostine; J. Vazquez; A. Ghenaim; R. Mose;

Title: Application of a second-order Runge-Kutta discontinuous Galerkin scheme for the shallow water equations with source terms

Journal: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Volume: 56

Page: 805 - 821

Year: 2008


Author: Rob Harris; Z. J. Wang; Yen Liu;

Title: Efficient quadrature-free high-order spectral volume method on unstructured grids: Theory and 2D implementation

Journal: JOURNAL OF COMPUTATIONAL PHYSICS

Volume: 227

Page: 1620 - 1642

Year: 2008


Author: Manuel Castro; Jose M. Gallardo; Juan A. Lopez-Garcia; Carlos Pares;

Title: Well-balanced high order extensions of Godunov's method for semilinear balance laws

Journal: SIAM JOURNAL ON NUMERICAL ANALYSIS

Volume: 46

Page: 1012 - 1039

Year: 2008


Author: Sebastian Noelle; Yulong Xing; Chi-Wang Shu;

Title: High-order well-balanced finite volume WENO schemes for shallow water equation with moving water

Journal: JOURNAL OF COMPUTATIONAL PHYSICS

Volume: 226

Page: 29 - 58

Year: 2007


Author: Zhengru Zhang; Huazhong Tang;

Title: An adaptive phase field method for the mixture of two incompressible fluids

Journal: COMPUTERS & FLUIDS

Volume: 36

Page: 1307 - 1318

Year: 2007


Author: Alexander Kurganov; Guergana Petrova;

Title: A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system

Journal: COMMUNICATIONS IN MATHEMATICAL SCIENCES

Volume: 5

Page: 133 - 160

Year: 2007


Author: Huazhong Tang; Tiegang Liu;

Title: Note on the conservative schemes for the Euler equations

Journal: JOURNAL OF COMPUTATIONAL PHYSICS

Volume: 218

Page: 451 - 459

Year: 2006