Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks

E Franck, V Michel-Dansac, L Navoret - Journal of Computational Physics, 2024 - Elsevier
This work concerns the enrichment of Discontinuous Galerkin (DG) bases, so that the
resulting scheme provides a much better approximation of steady solutions to hyperbolic …

A cylindrical discontinuous Galerkin method for compressible flows in axisymmetric geometry

Y Cao, YL Liu, AM Zhang, SP Wang, HJ Wang - Computers & Fluids, 2024 - Elsevier
In this paper, we present a cylindrical discontinuous Galerkin method for compressible flows
in axisymmetric geometry. The axisymmetric Euler equations in geometric flux form are …

The influence of hypersonic free-stream conicity on the flow over a sphere

S Gu, CY Wen, J Hao, W Wang… - Journal of Fluid Mechanics, 2024 - cambridge.org
The influence of free-stream conicity on the various aspects of the flow over a spherical test
model is examined using both analytical and numerical methods. For the analytical method …

TVD-MOOD schemes based on implicit-explicit time integration

V Michel-Dansac, A Thomann - Applied Mathematics and Computation, 2022 - Elsevier
The context of this work is the development of first order total variation diminishing (TVD)
implicit-explicit (IMEX) Runge-Kutta (RK) schemes as a basis of a Multidimensional Optimal …

Differentiable Conservative Radially Symmetric Fluid Simulations and Stellar Winds--jf1uids

L Storcks, T Buck - arXiv preprint arXiv:2410.23093, 2024 - arxiv.org
We present jf1uids, a one-dimensional fluid solver that can, by virtue of a geometric
formulation of the Euler equations, model radially symmetric fluid problems in a conservative …

Spark Channel Dynamics of Electrostatic Discharges

JW Rose - 2023 - search.proquest.com
When two differently-charged objects are brought in close proximity to each other, the
resulting high electric fields can cause electron avalanche breakdown of the air gap …

[HTML][HTML] The stability of the contact interface of cylindrical and spherical shock tubes

PE Crittenden, S Balachandar - Physics of Fluids, 2018 - pubs.aip.org
The stability of the contact interface for radial shock tubes is investigated as a model for
explosive dispersal. The advection upstream splitting method with velocity and pressure …

[PDF][PDF] UNIVERSITAT POLITECNICA DE VALENCIA

LMGC González - 2012 - core.ac.uk
A numerical scheme previously developed at CMT-Heat Engines Institute was implemented
in Python during the project, this software is able to solve the Euler equations in 3D. Several …

Modelos de mecánica de fluidos de baja fidelidad en 3D

M Rodríguez Pastor - 2020 - riunet.upv.es
[ES] En este proyecto, se implementó en Python un esquema numérico ya originado
previamente en el instituto de investigación CMT-Motores Térmicos que es capaz de …

[引用][C] Modeling detonation in non-ideal explosives using high-order shock capturing methods

E Lozano, V Petr, GS Jackson - 2018