Volume 25, Issue 5
Detonation Simulations with a Fifth-Order TENO Scheme

Haibo Dong, Lin Fu, Fan Zhang, Yu Liu & Jun Liu

Commun. Comput. Phys., 25 (2019), pp. 1357-1393.

Published online: 2019-01

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  • Abstract

In [Fu et al., JCP 305(2016): 333-359], a family of high-order targeted ENO (TENO) schemes is proposed. The weighting strategy of TENO either applies a candidate stencil with its optimal weight, or removes its contribution completely when it is crossed by discontinuities. This ENO-like stencil selection procedure significantly diminishes the numerical dissipation induced by the nonlinear adaptations of classical WENO schemes. In this paper, the fifth-order TENO scheme is extended to simulate reactive flows in combination with an uncoupled method [1, 2], which splits the reaction source term of detailed chemistry from the flow equations. A set of benchmark cases including the two-dimensional self-sustained detonation is simulated to validate and compare the performance of the fifth-order WENO and TENO schemes. Numerical experiments demonstrate that TENO scheme is robust for simulating chemical reacting flows with using the uncoupled method. In particular, TENO scheme shows better performance in capturing both the shockwaves and the small-scale flow structures, e.g. shear layers and vortices.

  • Keywords

WENO, TENO, chemical reacting flow, uncoupled method, shockwave, denotation.

  • AMS Subject Headings

35L65, 65M06, 76J20, 76V05

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COPYRIGHT: © Global Science Press

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@Article{CiCP-25-1357, author = {}, title = {Detonation Simulations with a Fifth-Order TENO Scheme}, journal = {Communications in Computational Physics}, year = {2019}, volume = {25}, number = {5}, pages = {1357--1393}, abstract = {

In [Fu et al., JCP 305(2016): 333-359], a family of high-order targeted ENO (TENO) schemes is proposed. The weighting strategy of TENO either applies a candidate stencil with its optimal weight, or removes its contribution completely when it is crossed by discontinuities. This ENO-like stencil selection procedure significantly diminishes the numerical dissipation induced by the nonlinear adaptations of classical WENO schemes. In this paper, the fifth-order TENO scheme is extended to simulate reactive flows in combination with an uncoupled method [1, 2], which splits the reaction source term of detailed chemistry from the flow equations. A set of benchmark cases including the two-dimensional self-sustained detonation is simulated to validate and compare the performance of the fifth-order WENO and TENO schemes. Numerical experiments demonstrate that TENO scheme is robust for simulating chemical reacting flows with using the uncoupled method. In particular, TENO scheme shows better performance in capturing both the shockwaves and the small-scale flow structures, e.g. shear layers and vortices.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2018-0008}, url = {http://global-sci.org/intro/article_detail/cicp/12954.html} }
TY - JOUR T1 - Detonation Simulations with a Fifth-Order TENO Scheme JO - Communications in Computational Physics VL - 5 SP - 1357 EP - 1393 PY - 2019 DA - 2019/01 SN - 25 DO - http://doi.org/10.4208/cicp.OA-2018-0008 UR - https://global-sci.org/intro/article_detail/cicp/12954.html KW - WENO, TENO, chemical reacting flow, uncoupled method, shockwave, denotation. AB -

In [Fu et al., JCP 305(2016): 333-359], a family of high-order targeted ENO (TENO) schemes is proposed. The weighting strategy of TENO either applies a candidate stencil with its optimal weight, or removes its contribution completely when it is crossed by discontinuities. This ENO-like stencil selection procedure significantly diminishes the numerical dissipation induced by the nonlinear adaptations of classical WENO schemes. In this paper, the fifth-order TENO scheme is extended to simulate reactive flows in combination with an uncoupled method [1, 2], which splits the reaction source term of detailed chemistry from the flow equations. A set of benchmark cases including the two-dimensional self-sustained detonation is simulated to validate and compare the performance of the fifth-order WENO and TENO schemes. Numerical experiments demonstrate that TENO scheme is robust for simulating chemical reacting flows with using the uncoupled method. In particular, TENO scheme shows better performance in capturing both the shockwaves and the small-scale flow structures, e.g. shear layers and vortices.

Haibo Dong, Lin Fu, Fan Zhang, Yu Liu & Jun Liu. (2020). Detonation Simulations with a Fifth-Order TENO Scheme. Communications in Computational Physics. 25 (5). 1357-1393. doi:10.4208/cicp.OA-2018-0008
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