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A coupled HDG-FV scheme for the simulation of transient inviscid compressible flows

Sanjay Komala Sheshachala, Rubén Sevilla Orcid Logo, Oubay Hassan Orcid Logo

Computers & Fluids, Volume: 202, Start page: 104495

Swansea University Authors: Sanjay Komala Sheshachala, Rubén Sevilla Orcid Logo, Oubay Hassan Orcid Logo

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Abstract

A methodology that combines the advantages of the vertex-centred finite volume (FV) method and high-order hybridisable discontinuous Galerkin (HDG) method is presented for the simulation of the transient inviscid two dimensional flows. The resulting method is suitable for simulating the transient ef...

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Published in: Computers & Fluids
ISSN: 0045-7930
Published: Elsevier BV 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa53737
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spelling 2020-03-04T16:28:12.2113311 v2 53737 2020-03-04 A coupled HDG-FV scheme for the simulation of transient inviscid compressible flows 514901acd86d48939625a4129e3ce2bd Sanjay Komala Sheshachala Sanjay Komala Sheshachala true false b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 07479d73eba3773d8904cbfbacc57c5b 0000-0001-7472-3218 Oubay Hassan Oubay Hassan true false 2020-03-04 FGSEN A methodology that combines the advantages of the vertex-centred finite volume (FV) method and high-order hybridisable discontinuous Galerkin (HDG) method is presented for the simulation of the transient inviscid two dimensional flows. The resulting method is suitable for simulating the transient effects on coarse meshes that are suitable to perform steady simulations with traditional low-order methods. In the vicinity of the aerodynamic shapes, FVs are used whereas in regions where the size of the element is too large for finite volumes to provide an accurate answer, the high-order HDG approach is employed with a non-uniform degree of approximation. The proposed method circumvents the need to produce tailored meshes for transient simulations, as required in a low-order context, and also the need to produce high-order curvilinear meshes, as required by high-order methods. Numerical examples are used to test the optimal convergence properties of the combined HDG-FV scheme and to demonstrate its potential in the context of simulating the wind gust effect on aerodynamic shapes. Journal Article Computers & Fluids 202 104495 Elsevier BV 0045-7930 Transient flows; Hybridisable discontinuous Galerkin; Finite volumes; Coarse meshes; Coupling 30 4 2020 2020-04-30 10.1016/j.compfluid.2020.104495 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2020-03-04T16:28:12.2113311 2020-03-04T16:28:12.2113311 Sanjay Komala Sheshachala 1 Rubén Sevilla 0000-0002-0061-6214 2 Oubay Hassan 0000-0001-7472-3218 3 53737__16770__06efa5939c3a4ec798b9bfd2ff920fda.pdf komalasheshachala2020.pdf 2020-03-04T16:30:30.8146292 Output 29940518 application/pdf Accepted Manuscript true 2021-03-05T00:00:00.0000000 Released under the terms of a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND). true eng
title A coupled HDG-FV scheme for the simulation of transient inviscid compressible flows
spellingShingle A coupled HDG-FV scheme for the simulation of transient inviscid compressible flows
Sanjay Komala Sheshachala
Rubén Sevilla
Oubay Hassan
title_short A coupled HDG-FV scheme for the simulation of transient inviscid compressible flows
title_full A coupled HDG-FV scheme for the simulation of transient inviscid compressible flows
title_fullStr A coupled HDG-FV scheme for the simulation of transient inviscid compressible flows
title_full_unstemmed A coupled HDG-FV scheme for the simulation of transient inviscid compressible flows
title_sort A coupled HDG-FV scheme for the simulation of transient inviscid compressible flows
author_id_str_mv 514901acd86d48939625a4129e3ce2bd
b542c87f1b891262844e95a682f045b6
07479d73eba3773d8904cbfbacc57c5b
author_id_fullname_str_mv 514901acd86d48939625a4129e3ce2bd_***_Sanjay Komala Sheshachala
b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla
07479d73eba3773d8904cbfbacc57c5b_***_Oubay Hassan
author Sanjay Komala Sheshachala
Rubén Sevilla
Oubay Hassan
author2 Sanjay Komala Sheshachala
Rubén Sevilla
Oubay Hassan
format Journal article
container_title Computers & Fluids
container_volume 202
container_start_page 104495
publishDate 2020
institution Swansea University
issn 0045-7930
doi_str_mv 10.1016/j.compfluid.2020.104495
publisher Elsevier BV
document_store_str 1
active_str 0
description A methodology that combines the advantages of the vertex-centred finite volume (FV) method and high-order hybridisable discontinuous Galerkin (HDG) method is presented for the simulation of the transient inviscid two dimensional flows. The resulting method is suitable for simulating the transient effects on coarse meshes that are suitable to perform steady simulations with traditional low-order methods. In the vicinity of the aerodynamic shapes, FVs are used whereas in regions where the size of the element is too large for finite volumes to provide an accurate answer, the high-order HDG approach is employed with a non-uniform degree of approximation. The proposed method circumvents the need to produce tailored meshes for transient simulations, as required in a low-order context, and also the need to produce high-order curvilinear meshes, as required by high-order methods. Numerical examples are used to test the optimal convergence properties of the combined HDG-FV scheme and to demonstrate its potential in the context of simulating the wind gust effect on aerodynamic shapes.
published_date 2020-04-30T04:25:15Z
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