Hybridisable discontinuous Galerkin formulation of compressible flows

J Vila-Pérez, M Giacomini, R Sevilla… - Archives of Computational …, 2021 - Springer
This work presents a review of high-order hybridisable discontinuous Galerkin (HDG)
methods in the context of compressible flows. Moreover, an original unified framework for …

[HTML][HTML] An arbitrary Lagrangian-Eulerian SPH-MLS method for the computation of compressible viscous flows

L Ramírez, A Eirís, I Couceiro, J París… - Journal of Computational …, 2022 - Elsevier
In this work we present a high-accurate discretization to solve the compressible Navier-
Stokes equations using an Arbitrary Lagrangian-Eulerian meshless method (SPH-MLS) …

New high-resolution-preserving sliding mesh techniques for higher-order finite volume schemes

L Ramírez, C Foulquié, X Nogueira, S Khelladi… - Computers & …, 2015 - Elsevier
This paper presents a new sliding mesh technique for the computation of unsteady viscous
flows in the presence of rotating bodies. The compressible Euler and incompressible Navier …

[HTML][HTML] A new mean preserving moving least squares method for arbitrary order finite volume schemes

L Ramírez, L Edreira, I Couceiro, P Ouro… - Applied Mathematics …, 2023 - Elsevier
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 …

A new higher-order finite volume method based on Moving Least Squares for the resolution of the incompressible Navier–Stokes equations on unstructured grids

L Ramirez, X Nogueira, S Khelladi… - Computer Methods in …, 2014 - Elsevier
In this work a new higher-order (> 2) accurate finite volume method for the resolution of the
incompressible Navier–Stokes equations on unstructured grids is presented. The …

[HTML][HTML] A high-order finite volume method on unstructured grids using RBF reconstruction

Y Liu, W Zhang, Y Jiang, Z Ye - Computers & Mathematics with Applications, 2016 - Elsevier
This paper proposes a high-order finite volume method based on radial basis function (RBF)
reconstruction for the solution of Euler and Navier–Stokes equations on unstructured grids …

[HTML][HTML] Very high order finite volume solver for multi component two-phase flow with phase change using a posteriori Multi-dimensional Optimal Order Detection

M Deligant, CJ Romero-Casado, X Nogueira… - Computers & …, 2025 - Elsevier
In this work we propose a very high-order compressible finite volume scheme with a
posteriori stabilization for the computation of multi-component two-phase flow with phase …

An implicit free element method for simulation of compressible flow

HY Liu, XW Gao, BB Xu - Computers & Fluids, 2019 - Elsevier
A novel implicit scheme based on free element method (FECM) is proposed to solve Navier–
Stokes equations. The proposed method has the mesh-free features but elements are …

A higher-order chimera method for finite volume schemes

L Ramírez, X Nogueira, P Ouro, F Navarrina… - … Methods in Engineering, 2018 - Springer
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 …

A Diffuse Interface Model for Cavitation, Taking Into Account Capillary Forces

T Ait‐Ali, S Khelladi, F Bakir, N Hannoun… - … Methods in Fluids, 2024 - Wiley Online Library
We consider the moving least squares method to solve compressible two‐phase water‐
water vapor flow with surface tension. A diffuse interface model based on the Navier–Stokes …