Efficient simulation of multidimensional continuum and non-continuum flows by a parallelised unified gas kinetic scheme solver

Ragta, Lokesh Kumar; Srinivasan, Balaji Vasan; Sinha, Sawan Suman

doi:10.1080/10618562.2017.1350265

Cited by 7 publications

(4 citation statements)

References 28 publications

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“…Since the kinetic solvers take numerical discretization on both the physical space and the velocity space, the parallel strategy is more flexible for large scale simulations. For the UGKS on Cartesian grids, Ragta et al [Ragta et al, 2017] adopt the parallel strategy based on the domain decomposition, and investigate the parallelization performance up to thousands of cores. Chen et al [Chen et al, 2017] developed an implicit kinetic method with memory reduction techniques, which significantly reduces the memory consumption, and the parallel computation based on the discrete velocity distribution function is employed.…”

Section: Parallel Strategymentioning

confidence: 99%

The first decade of unified gas kinetic scheme

Zhu,

2021

Preprint

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Section: Parallel Strategymentioning

confidence: 99%

The first decade of unified gas kinetic scheme

Zhu,

2021

Preprint

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“…For the UGKS on Cartesian grids, Ragta et al [136] adopt the parallel strategy based on the domain decomposition, and investigate the parallelization performance up to thousands of cores. Chen et al [49] developed an implicit kinetic method with memory reduction techniques, which significantly reduces the memory consumption, and the parallel computation based on the discrete velocity distribution function is employed.…”

Section: Parallel Strategymentioning

confidence: 99%

GKS and UGKS for High-Speed Flows

Zhu

Zhong

2021

Aerospace

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The gas-kinetic scheme (GKS) and the unified gas-kinetic scheme (UGKS) are numerical methods based on the gas-kinetic theory, which have been widely used in the numerical simulations of high-speed and non-equilibrium flows. Both methods employ a multiscale flux function constructed from the integral solutions of kinetic equations to describe the local evolution process of particles’ free transport and collision. The accumulating effect of particles’ collision during transport process within a time step is used in the construction of the schemes, and the intrinsic simulating flow physics in the schemes depends on the ratio of the particle collision time and the time step, i.e., the so-called cell’s Knudsen number. With the initial distribution function reconstructed from the Chapman–Enskog expansion, the GKS can recover the Navier–Stokes solutions in the continuum regime at a small Knudsen number, and gain multi-dimensional properties by taking into account both normal and tangential flow variations in the flux function. By employing a discrete velocity distribution function, the UGKS can capture highly non-equilibrium physics, and is capable of simulating continuum and rarefied flow in all Knudsen number regimes. For high-speed non-equilibrium flow simulation, the real gas effects should be considered, and the computational efficiency and robustness of the schemes are the great challenges. Therefore, many efforts have been made to improve the validity and reliability of the GKS and UGKS in both the physical modeling and numerical techniques. In this paper, we give a review of the development of the GKS and UGKS in the past decades, such as physical modeling of a diatomic gas with molecular rotation and vibration at high temperature, plasma physics, computational techniques including implicit and multigrid acceleration, memory reduction methods, and wave–particle adaptation.

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“…The gas-kinetic BGK method (GKM) has various advantages over the conventional Navier-Stokes (NS) based solvers due to its robustness over a wide range of turbulent Mach number and its ability to accurately capture flow physics. Furthermore, the GKM scheme is also capable of capturing deviations from equilibrium and effect of extremely rarefied flow physics (Ragta et al (2017b), Ragta et al (2017a)).…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Cubic-Spline Based Gas Kinetic Method for Simulating Compressible Turbulence

Parashar

Srinivasan

Sinha

2019

JAFM

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In this work, we implement and examine a new flow reconstruction methodology using cubic-splines for interpolations in the gas kinetic method (GKM). We compare this version of GKM with the existing WENO based interpolation method. The comparisons are made in terms of accuracy and computational speed. We find that at low to intermediate range of Mach number (Mt < 0.7), cubic-splines based interpolations are superior in terms of reduced numerical dissipation and higher computational speed (7x faster) as compared to the WENO interpolation method.

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Efficient simulation of multidimensional continuum and non-continuum flows by a parallelised unified gas kinetic scheme solver

Cited by 7 publications

References 28 publications

The first decade of unified gas kinetic scheme

The first decade of unified gas kinetic scheme

GKS and UGKS for High-Speed Flows

Evaluation of Cubic-Spline Based Gas Kinetic Method for Simulating Compressible Turbulence

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