r-adaptive algorithms for supersonic flows with high-order Flux Reconstruction methods

FB Ameur, J Balis, R Vandenhoeck, A Lani… - Computer Physics …, 2022 - Elsevier
The present paper addresses the development and implementation of the first r-adaptive
mesh refinement (r-AMR) algorithm for a high-order Flux Reconstruction solver. The r …

A block-spectral adaptive H-/p-refinement strategy for shock-dominated problems

V Rajora, T Aslam, WW Chapman, C Meyer… - Journal of …, 2024 - Elsevier
An adaptive H-/p-refinement strategy using a novel sensor is devised and tested in a block-
spectral compressible Euler code equipped with adaptive-mesh refinement (AMR) and high …

High‐Order Hybrid WCNS‐CPR Scheme for Shock Capturing of Conservation Laws

J Guo, H Zhu, ZG Yan, L Tang… - International Journal of …, 2020 - Wiley Online Library
By introducing hybrid technique into high‐order CPR (correction procedure via
reconstruction) scheme, a novel hybrid WCNS‐CPR scheme is developed for efficient …

A conservative high-order method utilizing dynamic transfinite mortar elements for flow simulations on curved nonconforming sliding meshes

B Zhang, C Liang - Journal of Computational Physics, 2021 - Elsevier
We introduce two concepts in this work: polynomial mortar and transfinite mortar, and apply
them to curved nonconforming sliding meshes. It is shown that, on curved meshes …

Disturbance region update method for steady compressible flows

S Hu, C Jiang, Z Gao, CH Lee - Computer Physics Communications, 2018 - Elsevier
A new methodology capable of achieving considerable acceleration in iteration together
with lower memory requirements, named as the disturbance region update method (DRUM) …

[HTML][HTML] Simple and robust h-adaptive shock-capturing method for flux reconstruction framework

L Huang, Z Jiang, LOU Shuai, X Zhang… - Chinese Journal of …, 2023 - Elsevier
In this paper, a simple and robust shock-capturing method is developed for the Flux
Reconstruction (FR) framework by combining the Adaptive Mesh Refinement (AMR) …

A high‐order flux reconstruction adaptive mesh refinement method for magnetohydrodynamics on unstructured grids

J Yang, C Liang - … Journal for Numerical Methods in Fluids, 2018 - Wiley Online Library
We report our recent development of the high‐order flux reconstruction adaptive mesh
refinement (AMR) method for magnetohydrodynamics (MHD). The resulted framework …

An adaptive multiresolution flux reconstruction method with local time stepping and artificial viscosity for compressible flows simulations

Y Lian, J Cai, S Pan - arXiv preprint arXiv:2306.11396, 2023 - arxiv.org
In this paper, we introduce a novel approach that combines multiresolution (MR) techniques
with the flux reconstruction (FR) method to accurately and effciently simulate compressible …

[PDF][PDF] Vaibhav_Rajora_Thesis_2024_Corrections_V3. pdf

V Rajora - 2024 - hammer.purdue.edu
AN ADAPTIVE H-/P- MESH REFINEMENT STRATEGY FOR MULTIPHASE AND
MULTIMATERIAL SHOCK DOMINATED FLOWS Page 1 AN ADAPTIVE H-/P- MESH …

Shock capturing with the high‐order flux reconstruction method on adaptive meshes based on p4est

H Fu, J Xia, X Ma - Engineering Reports, 2022 - Wiley Online Library
High order schemes have been investigated for quite a long time, and the flux reconstruction
(FR) scheme proposed by Huynh recently attracts the attention of researchers due to its …