Manuel J. Castro

Anisotropic unstructured mesh adaption for flow simulations

Manuel J. Castro, Frédéric Hecht, Bijan Mohammadi et al. · International Journal for Numerical Methods in Fluids · 1997 · 284 citations

Geometric Modeling, Unstructured Triangular Grids, Mesh Optimization +12

High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems

Manuel J. Castro, José M. Gallardo, Carlos Parés · Mathematics of Computation · 2006 · 281 citations · Full text

Numerical Analysis, Hyperbolic Systems, Engineering +14

Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes

Manuel J. Castro, Philippe G. LeFloch, Marı́a Luz Muñoz-Ruiz et al. · Journal of Computational Physics · 2008 · 241 citations · Full text

Numerical Analysis, Shock Waves, Convergence Error +9

On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas

José M. Gallardo, Carlos Parés, Manuel J. Castro · Journal of Computational Physics · 2007 · 212 citations

Numerical Analysis, Dry Areas, Engineering +7

On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems

Carlos Parés, Manuel J. Castro · ESAIM Mathematical Modelling and Numerical Analysis · 2004 · 201 citations · Full text

Numerical Analysis, Nonconservative Hyperbolic Systems, Engineering +15