Review of the high-order TENO schemes for compressible gas dynamics and turbulence

L Fu - Archives of Computational Methods in Engineering, 2023 - Springer
For compressible flow simulations involving both turbulence and shockwaves, the
competing requirements render it challenging to develop high-order numerical methods …

[HTML][HTML] High-order methods for diffuse-interface models in compressible multi-medium flows: A review

V Maltsev, M Skote, P Tsoutsanis - Physics of Fluids, 2022 - pubs.aip.org
The diffuse interface models, part of the family of the front capturing methods, provide an
efficient and robust framework for the simulation of multi-species flows. They allow the …

[HTML][HTML] 航空航天CFD 物理模型和计算方法的述评与挑战

阎超, 屈峰, 赵雅甜, 于剑, 武从海, 张树海 - 空气动力学学报, 2020 - html.rhhz.net
CFD (computational fluid dynamics) 在航空航天中的应用发展迅速, 成效斐然,
成为飞行器研制和空气动力学研究的重要手段. 但另一方面, CFD 在物理模型和计算方法等核心 …

[HTML][HTML] UCNS3D: An open-source high-order finite-volume unstructured CFD solver

AF Antoniadis, D Drikakis, PS Farmakis, L Fu… - Computer Physics …, 2022 - Elsevier
UCNS3D is an open-source computational solver for compressible flows on unstructured
meshes. State-of-the-art high-order methods and their associated benefits can now be …

[HTML][HTML] High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids

M Dumbser, I Peshkov, E Romenski… - Journal of Computational …, 2016 - Elsevier
This paper is concerned with the numerical solution of the unified first order hyperbolic
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …

Improved detection criteria for the multi-dimensional optimal order detection (MOOD) on unstructured meshes with very high-order polynomials

S Diot, S Clain, R Loubère - Computers & Fluids, 2012 - Elsevier
This paper extends the MOOD method proposed by the authors in [A high-order finite
volume method for hyperbolic systems: Multi-Dimensional Optimal Order Detection (MOOD) …

Edge‐based reconstruction schemes for unstructured tetrahedral meshes

I Abalakin, P Bakhvalov… - International Journal for …, 2016 - Wiley Online Library
In this paper, we consider edge‐based reconstruction (EBR) schemes for solving the Euler
equations on unstructured tetrahedral meshes. These schemes are based on a high …

ADER-WENO finite volume schemes with space–time adaptive mesh refinement

M Dumbser, O Zanotti, A Hidalgo, DS Balsara - Journal of Computational …, 2013 - Elsevier
We present the first high order one-step ADER-WENO finite volume scheme with adaptive
mesh refinement (AMR) in multiple space dimensions. High order spatial accuracy is …

High order ADER schemes for continuum mechanics

S Busto, S Chiocchetti, M Dumbser, E Gaburro… - Frontiers in …, 2020 - frontiersin.org
In this paper we first review the development of high order ADER finite volume and ADER
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …

Arbitrary high order central non-oscillatory schemes on mixed-element unstructured meshes

P Tsoutsanis, M Dumbser - Computers & Fluids, 2021 - Elsevier
In this paper we develop a family of very high-order central (up to 6th-order) non-oscillatory
schemes for mixed-element unstructured meshes. The schemes are inherently compact in …