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20222026
most citedHORSES3D: a high-order discontinuous Galerkin solver for flow simulations and multi-physics applications

62 citations · 65 across the 11 of their papers we have counts for

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7 papers · 1 filter

math.NA2026

Simultaneous energy and entropy stability of volume-penalisation immersed-boundary methods for the compressible Navier--Stokes equations

Abbas Ballout, Albert Jiménez-Ramos, Gonzalo Rubio +1

Immersed-boundary methods avoid body-fitted meshes, but the energy or entropy stability of the underlying flow discretisation does not automatically extend to the immersed treatmen…

math.NA2026

HORSES3D-GPU: A high-order discontinuous Galerkin solver for multi-GPU systems

Gerasimos Ntoukas, Gonzalo Rubio, Abbas Ballout +13

We present the GPU acceleration and large-scale performance assessment of HORSES3D, an open-source high-order discontinuous Galerkin solver for computational fluid dynamics. The so…

math.NA2026

Projection-Based Reconstruction for Achieving High-Order Accuracy from Low-Order DGSEM Simulations

Xukun Wang, Suyash Shrestha, Oscar A. Marino +1

High-order discontinuous Galerkin spectral element methods (DGSEM) based on Legendre-Gauss-Lobatto (LGL) nodes provide accurate and efficient discretizations for conservation laws.…

math.NA2025

Optimal solutions employing an algebraic Variational Multiscale approach Part II: Application to Navier-Stokes

Suyash Shrestha, Marc Gerritsma, Gonzalo Rubio +2

This work presents a non-linear extension of the high-order discretisation framework based on the Variational Multiscale (VMS) method previously introduced for steady linear proble…

math.NA2025★ 1 cited

Acoustic Propagation/Refraction Through Diffuse Interface Models

Abbas Ballout, Oscar A. Marino, Gerasimos Ntoukas +2

We present a novel approach for simulating acoustic (pressure) wave propagation across different media separated by a diffuse interface through the use of a weak compressibility fo…

math.NA2024★ 1 cited

Optimal solutions employing an algebraic Variational Multiscale approach Part I: Steady Linear Problems

Suyash Shrestha, Marc Gerritsma, Gonzalo Rubio +2

This work extends our previous study from S. Shrestha et al. (2024) by introducing a new abstract framework for Variational Multiscale (VMS) methods at the discrete level. We intro…

math.NA2022★ 62 cited

HORSES3D: a high-order discontinuous Galerkin solver for flow simulations and multi-physics applications

E. Ferrer, G. Rubio, G. Ntoukas +10

We present the latest developments of our High-Order Spectral Element Solver (HORSES3D), an open source high-order discontinuous Galerkin framework, capable of solving a variety of…