Convergence properties of detonation simulations

Qian, Chengeng; Wang, Cheng; Liu, JianNan; Brandenburg, Axel; Haugen, Nils Erland L.; Liberman, Michael A.

doi:10.1080/03091929.2019.1668382

Cited by 10 publications

(4 citation statements)

References 38 publications

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“…The evolution of averaged local premixed flame thickness in a turbulent flow was studied in Yu, Nillson, Bai and Lipatnikov (2019b). Convergence properties of detonation simulations were explored in Qian et al (2020). Bifurcation of pulsation instability in one-dimensional H 2 -O 2 detonation with detailed reaction mechanism was studied in Han et al (2019a).…”

Section: Applicationsmentioning

confidence: 99%

Essentially non-oscillatory and weighted essentially non-oscillatory schemes

Shu¹

2020

Acta Numerica

118

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Essentially non-oscillatory (ENO) and weighted ENO (WENO) schemes were designed for solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions or solutions with sharp gradient regions. The main idea of ENO and WENO schemes is actually an approximation procedure, aimed at achieving arbitrarily high-order accuracy in smooth regions and resolving shocks or other discontinuities sharply and in an essentially non-oscillatory fashion. Both finite volume and finite difference schemes have been designed using the ENO or WENO procedure, and these schemes are very popular in applications, most noticeably in computational fluid dynamics but also in other areas of computational physics and engineering. Since the main idea of the ENO and WENO schemes is an approximation procedure not directly related to partial differential equations (PDEs), ENO and WENO schemes also have non-PDE applications. In this paper we will survey the basic ideas behind ENO and WENO schemes, discuss their properties, and present examples of their applications to different types of PDEs as well as to non-PDE problems.

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Section: Applicationsmentioning

confidence: 99%

Essentially non-oscillatory and weighted essentially non-oscillatory schemes

Shu¹

2020

Acta Numerica

118

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“…• Gaseous combustion and detonation (Babkovskaia, Haugen, and Brandenburg 2011;Zhang et al 2020;Krüger, Haugen, and Løvås 2017), • Burning particles, resolved or unresolved (Qian et al 2020),…”

Section: Discussionmentioning

confidence: 99%

The Pencil Code, a modular MPI code for partial differential equations and particles: multipurpose and multiuser-maintained

Brandenburg,

Johansen,

Bourdin

et al. 2020

Preprint

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code can also evolve Lagrangian (inertial and noninertial) particles, their coagulation and condensation, as well as their interaction with the fluid. A related module has also been adapted to perform ray tracing and to solve the eikonal equation.The code is being used for Cartesian, cylindrical, and spherical geometries, but further extensions are possible. One can choose between different time stepping schemes and different spatial derivative operators. High-order first and second derivatives are used to deal with weakly compressible turbulent flows. There are also different diffusion operators to allow for both direct numerical simulations (DNS) and various types of large-eddy simulations (LES). High-level functionalityAn idea about the range of available modules can be obtained by inspecting the examples under pencil-code/samples/. Those are low resolution versions related to applications published in the literature. Some of the run directories of actual production runs are published through Zenodo. Below a list of method papers that describe the various applications and tests:

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“…• Gaseous combustion and detonation (Babkovskaia et al, 2011;Krüger et al, 2017;Zhang et al, 2020), • Burning particles, resolved or unresolved (Qian et al, 2020),…”

Section: High-level Functionalitymentioning

confidence: 99%