works on

From the 2 of 7 linked papers with an AI index.

collaborators

7 papers

math.NA2026

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

Gerasimos Ntoukas, Gonzalo Rubio, Abbas Ballout +13

The paper describes the GPU-accelerated version of the open-source high-order discontinuous Galerkin CFD solver HORSES3D, showing its performance and scalability on multi‑GPU syste…

physics.flu-dyn2026

Can Explicit Subgrid Models Enhance Implicit LES Simulations? A Very High-Order Solver Perspective

Gonzalo Rubio, Gerasimos Ntoukas, Miguel Chávez-Módena +5

The paper studies how explicit Vreman subgrid‑scale models interact with the inherent numerical dissipation of very high‑order discontinuous Galerkin methods for turbulent flow sim…

physics.flu-dyn2026

G-PINNs: Gaussian-based spatially weighted formulation for PINNs: 1D low-viscous Burgers

Kheir-eddine Otmani, Abdelhalim Azzouz, Nourelhouda Groun +1

We introduce a Gaussian-based spatially weighted loss framework (G-PINNs) for physics-informed neural networks (PINNs) to improve the resolution of sharp discontinuities and shock…

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

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…