activity
20182026
most citedHORSES3D: a high-order discontinuous Galerkin solver for flow simulations and multi-physics applications

62 citations · 154 across the 9 of their papers we have counts for

collaborators

11 papers

math.NA2026

GPU-Accelerated Nested Schur-Complement Solvers for Atmospheric Flow Simulations Using Horizontally-Explicit, Vertically-Implicit Schemes and Discontinuous Galerkin Methods

Marco Artiano, Andrés Rueda-Ramírez, Oswald Knoth +2

Horizontally explicit, vertically implicit (HEVI) time integration removes the acoustic time-step restriction imposed by fine vertical grids in nonhydrostatic atmospheric models, b…

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

Massively parallel numerical simulations with Julia

Simon Candelaresi, Benedict Geihe, Marco Artiano +6

The Julia programming language aims to provide a modern approach to develop high-performance computing (HPC) applications. It tries to achieve this by combining a high-level, dynam…

physics.comp-ph2026★ 6 cited

An intramembranous ossification model for the in-silico analysis of bone tissue formation in tooth extraction sites

Jennifer Paola Corredor-Gómez, Andrés Mauricio Rueda-Ramírez, Miguel Alejandro Gamboa-Márquez +2

The accurate modeling of biological processes allows to predict the spatio-temporal behavior of living tissues by computer-aided (in-silico) testing, a useful tool for the developm…

math.NA2025

SBP-FDEC: Summation-by-Parts Finite Difference Exterior Calculus

Daniel Bach, Andrés M. Rueda-Ramírez, Eric Sonnendrücker +2

We demonstrate that we can carry over the strategy of Finite Element Exterior Calculus (FEEC) to Summation-by-Parts (SBP) Finite Difference (FD) methods to achieve divergence- and…

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…

math.NA2022

On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows

Jesse Chan, Hendrik Ranocha, Andres Rueda-Ramirez +2

High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can…

cs.MS2021★ 18 cited

Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws

Hendrik Ranocha, Michael Schlottke-Lakemper, Jesse Chan +4

Many modern discontinuous Galerkin (DG) methods for conservation laws make use of summation by parts operators and flux differencing to achieve kinetic energy preservation or entro…

physics.comp-ph2019

A Statically Condensed Discontinuous Galerkin Spectral Element Method on Gauss-Lobatto Nodes for the Compressible Navier-Stokes Equations

Andrés M. Rueda-Ramírez, Esteban Ferrer, David A. Kopriva +2

We present a static-condensation method for time-implicit discretizations of the Discontinuous Galerkin Spectral Element Method on Gauss-Lobatto points (GL-DGSEM). We show that, wh…

math.NA2018★ 47 cited

A p-Multigrid Strategy with Anisotropic p-Adaptation Based on Truncation Errors for High-Order Discontinuous Galerkin Methods

Andrés M. Rueda-Ramírez, Juan Manzanero, Esteban Ferrer +2

High-order DG methods have become a popular technique in computational fluid dynamics because their accuracy increases spectrally in smooth solutions with the order of the approxim…

math.NA2018★ 21 cited

Truncation Error Estimation in the p-Anisotropic Discontinuous Galerkin Spectral Element Method

Andrés M. Rueda-Ramírez, Gonzalo Rubio, Esteban Ferrer +1

In the context of Discontinuous Galerkin Spectral Element Methods (DGSEM), -estimation has been successfully used for p-adaptation algorithms. This method estimates the truncati…