Recent progress on high-order discontinuous schemes for simulations of multiphase and multicomponent flows

Y Lv, J Ekaterinaris - Progress in Aerospace Sciences, 2023 - Elsevier
There have been growing research interests in high-order discontinuous schemes over
recent years. With established theoretical basis and framework, more efforts have recently …

High-order methods for hypersonic flows with strong shocks and real chemistry

A Peyvan, K Shukla, J Chan, G Karniadakis - Journal of Computational …, 2023 - Elsevier
We compare high-order methods including spectral difference (SD), flux reconstruction (FR),
the entropy-stable discontinuous Galerkin spectral element method (ES-DGSEM), modal …

Modal analysis of turbulent flows simulated with spectral element method

M Ranjbar, A Mostafavi, PT Rajendran, J Komperda… - Physics of …, 2024 - pubs.aip.org
Leveraging the high-order nature of spectral element methods, this work introduces a
methodology that enables instantaneous, local analysis of turbulent flows through a …

Entropy-stable spectral difference and flux reconstruction methods for discontinuous flows

T Marchal, H Deniau, G Puigt - Journal of Computational Physics, 2025 - Elsevier
Spectral discontinuous methods such as discontinuous Galerkin, spectral difference, or flux
reconstruction methods are by nature not able to cope with any discontinuity without …

Properties of median-dual regions on triangulations in with extensions to higher dimensions

DM Williams, H Nishikawa - arxiv preprint arxiv:2412.02555, 2024 - arxiv.org
Many time-dependent problems in the field of computational fluid dynamics can be solved in
a four-dimensional space-time setting. However, such problems are computationally …

Modeling of the flow measurement system of multicomponent flows based on the method of differential pressure

ZA Dayev - Flow Measurement and Instrumentation, 2023 - Elsevier
The paper presents a generalized method for measuring the flow rate of multicomponent
flows, which is based on a combination of the method of differential pressure and the …

Extension of the Spectral Difference method to combustion

T Marchal, H Deniau, JF Boussuge, B Cuenot… - arxiv preprint arxiv …, 2021 - arxiv.org
A Spectral Difference (SD) algorithm on tensor-product elements which solves the reacting
compressible Navier-Stokes equations (NSE) is presented. The classical SD algorithm is …

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MT MARCHAL - core.ac.uk
Résumé L'amélioration des outils d'ingénierie utilisés dans le design des dispositifs
industriels de combustion est indispensable afin de respecter les demandes de plus en plus …