A three-dimensional finite volume method for conservation laws in conjunction with modified solution for nonlinear coupled constitutive relations

Jiang, Zhongzheng; Zhao, Wenwen; Chen, Weifang

doi:10.1063/1.4967540

Cited by 5 publications

(4 citation statements)

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“…Introducing NSF relations (5) into NCCR model (4) and nondimensionalizing with infinite flow parameters [18], we can get another more concise form of NCCR model as…”

Section: The Diatomic Nonlinear Constitutive Modelmentioning

confidence: 99%

“…Introducing NSF relations (5) into NCCR model ( 4) and nondimensionalizing with infinite flow parameters [18],…”

Section: The Diatomic Nonlinear Constitutive Modelmentioning

confidence: 99%

“…Both cases are assumed to have isothermal walls with a constant wall temperature 1000K. The viscosity of air is computed also by the inverse power laws (18) and the other properties of air used in computations are given in Table 2.…”

Section: Slip Flow Past a Htv-type Vehiclementioning

confidence: 99%

“…Myong also constructed an uncoupled computational algorithm for this model, which was applied successfully in one-dimensional shock wave structure and two-dimensional simple flow [14,17]. However, the uncoupled solution to NCCR model encounters numerical instability especially under three-dimensional conditions due to overlooking some significant effects among these multi-dimensional non-conserved variables [18,19]. In present work, we attempt to utilize a coupled algorithm which combined Fixed-point and Newton's iterations for complete computation of non-conserved variables in NCCR model and modern CFD schemes to solve the conservational equations for conserved variables within finite volume framework.…”

Section: I． Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Numerical simulation of three-dimensional high-speed flows using a second-order nonlinear model

Jiang¹,

Chen²,

Zhao³

2017

21st AIAA International Space Planes and Hypersonics Technologies Conference

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The linear Navier-Stokes-Fourier (NSF) constitutive relations are capable of simulating the near-continuum flows, but fail in description of those flows which are removed far away from local equilibrium. In this paper, a diatomic nonlinear model named as nonlinear coupled constitutive relations (NCCR), derived from Eu's generalized hydrodynamics and proposed by Myong, is presented as an alternative for simulating these hypersonic gas flows with a goal of recovering NSF's solutions in continuum regime and being superior in transition regime. To guarantee stable computation, a reliable and efficient coupled algorithm is proposed for this diatomic nonlinear constitutive model. Constitutive-curve analysis is carried out in detail to compare this coupled algorithm with Myong's previous algorithm. Local flow regions are investigated carefully in these hypersonic flows past a cone tip, a hollow cylinder-flare and a HTV-type vehicle. The convergent solutions of NCCR model are compared with NSF, DSMC calculations and experiment. It is demonstrated that the NCCR model works as efficiently as the NSF model in continuum regime, but more accurately compared with DSMC and experiment than NSF in non-equilibrium flows. The discrepancies of flow-field and surface parameters, imply a potential for remedying NSF's deficiency in local non-equilibrium regions.c c c

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“…Introducing NSF relations (5) into NCCR model (4) and nondimensionalizing with infinite flow parameters [18], we can get another more concise form of NCCR model as…”

Section: The Diatomic Nonlinear Constitutive Modelmentioning

confidence: 99%

“…Introducing NSF relations (5) into NCCR model ( 4) and nondimensionalizing with infinite flow parameters [18],…”

Section: The Diatomic Nonlinear Constitutive Modelmentioning

confidence: 99%

Section: Slip Flow Past a Htv-type Vehiclementioning

confidence: 99%