• A high-order finite volume method with improved isotherms reconstruction for the computation of multiphase flows using the Navier–Stokes–Korteweg equations 

      Martínez, Abel; Ramírez, Luis; Nogueira, Xesús; Khelladi, Sofiane; Navarrina, Fermín (Elsevier, 2020)
      [Abstract] In this work we solve the Navier–Stokes–Korteweg (NSK) equations to simulate a two-phase fluid with phase change. We use these equations on a diffuse interface approach, where the properties of the fluid vary ...
    • A Higher‑Order Chimera Method for Finite Volume Schemes 

      Ramírez, Luis; Nogueira, Xesús; Ouro, Pablo; Navarrina, Fermín; Khelladi, Sofiane; Colominas, Ignasi (Springer, 2018)
      [Abstract:] In this work a higher-order accurate finite volume method for the resolution of the Euler/Navier–Stokes equations using Chimera grid techniques is presented. The formulation is based on the use of Moving Least ...
    • A new Mean Preserving Moving Least Squares method for Arbitrary Order Finite Volume schemes 

      Ramírez, Luis; Edreira Marzoa, Laura; Couceiro, Iván; Ouro, Pablo; Nogueira, Xesús; Colominas, Ignasi (Elsevier, 2023)
      [Abstract:] In this paper we propose a new arbitrary-order Finite Volume method for the numerical solution of the Euler and Navier-Stokes equations on unstructured grids. Arbitrary order is achieved using a modified Moving ...
    • An accelerated tool for flood modelling based on Iber 

      García-Feal, Orlando; González-Cao, José; Gómez-Gesteira, Moncho; Cea, Luis; Domínguez, J. M.; Formella, Arno (MDPI, 2018)
      [Abstract:] This paper presents Iber+, a new parallel code based on the numerical model Iber for two-dimensional (2D) flood inundation modelling. The new implementation, which is coded in C++ and takes advantage of the ...
    • IMEX-RK Finite Volume Methods for Nonlinear 1d Parabolic PDEs. Application to Option Pricing 

      López Salas, José Germán; Suárez Taboada, María; Castro Díaz, Manuel Jesús; Ferreiro Ferreiro, Ana María; García Rodríguez, José Antonio (Springer Nature, 2024-06-06)
      [Abstract]: The goal of this paper is to develop 2nd order Implicit-Explicit Runge-Kutta (IMEX-RK) finite volume (FV) schemes for solving 1d parabolic PDEs for option pricing, with possible nonlinearities in the source and ...
    • Second Order Finite Volume IMEX Runge-Kutta Schemes for Two Dimensional Parabolic PDEs in Finance 

      López Salas, José Germán; Suárez Taboada, María; Castro Díaz, Manuel Jesús; Ferreiro Ferreiro, Ana María; García Rodríguez, José Antonio (Springer Nature, 2024-06-06)
      [Abstract]: We present a novel and general methodology for building second order finite volume implicit-explicit Runge-Kutta numerical schemes for solving two dimensional financial parabolic PDEs with mixed derivatives. ...