Numerical simulation of hypersonic reaction flows with nonlinear coupled constitutive relations

Yuan, Ziming; Zhao, Wenwen; Jiang, Zhongzheng; Chen, Weifang

doi:10.1016/j.ast.2021.106591

Cited by 24 publications

(2 citation statements)

References 34 publications

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“…Three cases with different Knudsen numbers of 0.1, 0.25 and 0.5 are considered. Herein, the Knudsen number is defined as the ratio of molecular mean free path (λ) to the characteristic length (H) [36], By substituting Eq. ( 5.1) into Eq.…”

Section: Case 1: Planar Couette Flowmentioning

confidence: 99%

A Novel Construction of Distribution Function through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy

Yuan,

Chen,

Shu

et al. 2024

AAMM

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In this paper, we propose a new way to construct the distribution function through the second-order polynomial approximation in terms of particle mass, momentum and energy. The new construction holds three distinguished features. First, the formulations are more concise as compared with the third-order truncated Hermite polynomial expansion which yields Grad's 13-moment distribution function; Second, all moments of the present distribution function are determined from conservation laws; Third, these moments are closely linked to the most desirable variables, such as mass, momentum and energy. Then, this new distribution function is applied to construct a new gas kinetic flux solver. Numerical validations show that the proposed method recovers the Navier-Stokes solutions in the continuum regime. In addition, it outperforms Grad's 13-moment distribution function in the transition regime, especially in the prediction of temperature and heat flux.

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Section: Case 1: Planar Couette Flowmentioning

confidence: 99%

A Novel Construction of Distribution Function through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy

Yuan,

Chen,

Shu

et al. 2024

AAMM

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show abstract

“…The usual methods used to simulate plasma systems are magneto-hydrodynamic equations of conservation laws when the systems are in near-thermal equilibrium [6][7][8]. However, there are many cases where the systems are far from thermal states, especially when particle production or chemical reaction processes are involved [9][10][11]. In these highly non-thermal circumstances, one has to solve coupled Boltzmann-Maxwell equations instead.…”

Section: Motivationmentioning

confidence: 99%

A GPU-based general numerical framework for plasma simulations in terms of microscopic kinetic equations with full collision terms

Zhang¹,

Zhang²,

Peng³

et al. 2022

Plasma Sci. Technol.

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We have proposed a general numerical framework for plasma simulations on GPU (Graphics Processing Units) clusters based on the microscopic kinetic equations with full collision terms. Our numerical algorithm consistently deals with both the long-range (classical forces in the Vlasov term) and the short-range (quantum processes in the collision term) interactions. Providing the relevant particle masses, charges, and types (classical, fermionic or bosonic), as well as the external forces and the matrix elements (in the collisional integral), the algorithm consistently solves the coupled multi-particle kinetic equations. Currently, the framework is tested and applied in the field of relativistic heavy-ion collisions; extensions to other plasma systems are straight forward. Our framework is a potential and competitive numerical platform for consistent plasma simulations.

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Experimental Validation of Nonlinear Coupled Constitutive Relations in Continuum Flows

Zeng

Qiu

Jiang

et al. 2022

Lecture Notes in Electrical Engineering

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Numerical simulation of hypersonic reaction flows with nonlinear coupled constitutive relations

Cited by 24 publications

References 34 publications

A Novel Construction of Distribution Function through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy

A Novel Construction of Distribution Function through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy

A GPU-based general numerical framework for plasma simulations in terms of microscopic kinetic equations with full collision terms

Experimental Validation of Nonlinear Coupled Constitutive Relations in Continuum Flows

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