11 papers
Data-dependent approximation through RBF
José Kuruc, David Levin, Pep Mulet +2
In this article we present a modification of classical Radial Basis Function (RBF) interpolation techniques aimed at reducing oscillations near discontinuities in one and two dimen…
A Cell-Average Non-Separable Progressive Multivariate WENO Method for Image Processing Applications
Inmaculada Garcés, Pep Mulet, Juan Ruiz-Ãlvarez +2
Accurate and efficient reconstruction techniques are essential in multiresolution analysis and image compression, particularly when the data are represented as cell averages. In th…
Implicit-explicit all-speed schemes for compressible Cahn-Hilliard-Navier-Stokes equations
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 in the low Mach number regime. The me…
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 ZorÃo
This paper deals with the scheme proposed by the authors in ZorÃo, Baeza and Mulet (J Sci Comput 71(1):246-273, 2017). This scheme is an alternative to the techniques proposed in…