58 citations · 255 across the 23 of their papers we have counts for
8 papers · 1 filter
Implicit-explicit schemes for compressible Cahn-Hilliard-Navier-Stokes equations on staggered grids
Andreu Martorell, Pep Mulet, Dionisio F. Yáñez
We propose a second-order implicit-explicit (IMEX) time-stepping scheme for the isentropic, compressible Cahn-Hilliard-Navier-Stokes equations discretized on staggered (MAC) grids.…
Invariant-region-preserving WENO schemes for one-dimensional multispecies kinematic flow models
Juan Barajas-Calonge, Raimund Bürger, Pep Mulet +1
Multispecies kinematic flow models are defined by systems of N strongly coupled, nonlinear first-order conservation laws, where the solution is a vector of N partial volume fractio…
High Order in Space and Time Schemes Through an Approximate Lax-Wendroff Procedure
Antonio Baeza, Pep Mulet, David Zorío
This paper deals with the scheme proposed by the authors in Zorío, Baeza and Mulet (J Sci Comput 71(1):246-273, 2017). This scheme is an alternative to the techniques proposed in Q…
High Order Extrapolation Techniques for WENO Finite-Difference Schemes Applied to NACA Airfoil Profiles
Antonio Baeza, Pep Mulet, David Zorío
Finite-difference WENO schemes are capable of approximating accurately and efficiently weak solutions of hyperbolic conservation laws. In this context high order numerical boundary…
Approximate Taylor methods for ODEs
Antonio Baeza, Sebastiano Boscarino, Pep Mulet +2
A new method for the numerical solution of ODEs is presented. This approach is based on an approximate formulation of the Taylor methods that has a much easier implementation than…
An Approximate Lax-Wendroff-Type Procedure for High Order Accurate Schemes for Hyperbolic Conservation Laws
David Zorío, Antonio Baeza, Pep Mulet
A high order time stepping applied to spatial discretizations provided by the method of lines for hyperbolic conservations laws is presented. This procedure is related to the one p…
High Order Weighted Extrapolation for Boundary Conditions for Finite Difference Methods on Complex Domains with Cartesian Meshes
Antonio Baeza, Pep Mulet, David Zorío
The design of numerical boundary conditions is a challenging problem that has been tackled in different ways depending on the nature of the problem and the numerical scheme used to…
High Order Boundary Extrapolation Technique for Finite Difference Methods on Complex Domains with Cartesian Meshes
Antonio Baeza, Pep Mulet, David Zorío
The application of suitable numerical boundary conditions for hyperbolic conservation laws on domains with complex geometry has become a problem with certain difficulty that has be…