2012
DOI: 10.1016/j.jcp.2012.07.015
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On large time step TVD scheme for hyperbolic conservation laws and its efficiency evaluation

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Cited by 16 publications
(8 citation statements)
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References 21 publications
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“…17]), or to integrate the calculation of source terms directly with the wave propagation. This work verifies that the LTS Roe scheme, already successfully applied to shallow water flow [17,19], aerodynamics [22] and Maxwell's equations [26], can be extended to more general equation systems.…”
Section: Discussionsupporting
confidence: 65%
See 1 more Smart Citation
“…17]), or to integrate the calculation of source terms directly with the wave propagation. This work verifies that the LTS Roe scheme, already successfully applied to shallow water flow [17,19], aerodynamics [22] and Maxwell's equations [26], can be extended to more general equation systems.…”
Section: Discussionsupporting
confidence: 65%
“…He proves that the scheme is total-variation diminishing (TVD) for linearized systems, and introduces an entropy fix. This scheme was later picked up by Qian and Lee [22] and slightly modified to improve its stability. They also constructed an LTS scheme for Yee's upwind TVD scheme [27].…”
Section: Introductionmentioning
confidence: 99%
“…The interested reader is referred to the research on semi-Lagrangian schemes [44,126,41,49,48,75], front-tracking methods studied by Holden and co-workers [56,58,57], different approaches by Corrias et al [20,21], Leonard [76,77,78], Qiu and Shu [119] and Thompson and Moeller [135], and a version of LTS method developed by Harten [51] and further explored by Qian and Lee [118], Hussain et al [63] and Siddiqui et al [123]. Herein, we do not explore these any further.…”
Section: Large Timementioning
confidence: 99%
“…Qian and Lee [28] successfully extended LeVeque's LTS-Godunov scheme to the full 3D Euler equations through dimensional splitting. In [29], these authors extended their investigation to some high-resolution LTS schemes constructed through Harten's [6] approach.…”
Section: Large Timementioning
confidence: 99%