Numerical simulation of flows from free molecular regime to continuum regime by a DVM with streaming and collision processes

Yang, Liming; Chen, Shu; Wu, Jie; Wang, Yan

doi:10.1016/j.jcp.2015.11.043

Cited by 51 publications

(22 citation statements)

References 45 publications

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“…In this case, the DUGKS-T3S3 is applied to simulate the micro-cavity flow, which has been studied by DSMC [42,43,44], UGKS [45] and DVM [10,46] methods. The accuracy and efficiency of present method for rarefied flow will be tested in this example.…”

Section: Micro-cavity Flowmentioning

confidence: 99%

Third-order discrete unified gas kinetic scheme for continuum and rarefied flows: Low-speed isothermal case

Shi

Chen

et al. 2018

Phys. Rev. E

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An efficient third-order discrete unified gas kinetic scheme (DUGKS) is presented in this paper for simulating continuum and rarefied flows. By employing a two-stage time-stepping scheme and the high-order DUGKS flux reconstruction strategy, third order of accuracy in both time and space can be achieved in the present method. It is also analytically proven that the second-order DUGKS is a special case of the present method. Compared with the high-order lattice Boltzmann equation-based methods, the present method is capable to deal with the rarefied flows by adopting the Newton-Cotes quadrature to approximate the integrals of moments. Instead of being constrained by the second order (or lower order) of accuracy in the time-splitting scheme as in the conventional high-order Runge-Kutta-based kinetic methods, the present method solves the original Boltzmann equation, which overcomes the limitation in time accuracy. Typical benchmark tests are carried out for comprehensive evaluation of the present method. It is observed in the tests that the present method is advantageous over the original DUGKS in accuracy and capturing delicate flow structures. Moreover, the efficiency of the present third-order method is also shown in simulating rarefied flows.

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Section: Micro-cavity Flowmentioning

confidence: 99%

Third-order discrete unified gas kinetic scheme for continuum and rarefied flows: Low-speed isothermal case

Shi

Chen

et al. 2018

Phys. Rev. E

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“…Ground test facilities can hardly reproduce the crucial non-equilibrium flows of extremely highspeed reentry in non-continuum atmospheric environment [10]. Although kinetic methods including the direct solver of kinetic models [11][12][13][14][15], the discrete velocity models [16][17][18][19][20][21][22], the gas-kinetic unified algorithm [23][24][25][26][27], the unified flow solver [28,29], and the BGK-type discrete unified gas-kinetic schemes [30,31] can describe non-equilibrium gas flows, they are still under development and computationally expensive for hypersonic flows. Currently, the most widely used method for rarefied hypersonic flows is the Direct Simulation Monte Carlo (DSMC) [32][33][34] method.…”

Section: Introductionmentioning

confidence: 99%

DSMC modeling of rarefied ionization reactions and applications to hypervelocity spacecraft reentry flows

Fang

Liang

et al. 2020

Adv. Aerodyn.

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The DSMC modeling is developed to simulate three-dimensional (3D) rarefied ionization flows and numerically forecast the communication blackout around spacecraft during hypervelocity reentry. A new weighting factor scheme for rare species is introduced, whose key point is to modify the corresponding chemical reaction coefficients involving electrons, meanwhile reproduce the rare species in resultants and preserve/delete common species in reactants according to the weighting factors. The resulting DSMC method is highly efficient in simulating weakly inhomogeneous flows including the Couette shear flow and controlling statistical fluctuation with high resolution. The accurate reliability of the present DSMC modeling is also validated by the comparison with a series of experimental measurements of the Shenzhou reentry capsule tested in a low-density wind tunnel from the HAI of CARDC. The obtained electron number density distribution for the RAM-C II vehicle agrees well with the flight experiment data, while the electron density contours for the Stardust hypervelocity reentry match the reference data completely. In addition, the present 3D DSMC algorithm can capture distribution of the electron, N + and O + number densities better than the axis-symmetric DSMC model. The introduction of rare species weighting factor scheme can significantly improve the smoothness of the number density contours of rare species, especially for that of electron in weak ionization case, while it has negligible effect on the macroscopic flow parameters. The ionization characteristics of the Chinese lunar capsule reentry process are numerically analyzed and forecasted in the rarefied transitional flow regime at the flying altitudes between 80 and 97 km, and the simulations predict communication blackout altitudes which are in good agreement with the actual reentry flight data. For the spacecraft reentry with hypervelocity larger than the second cosmic speed, it is forecasted and verified by the present DSMC modeling that ionization reactions will cover the windward capsule surface, leading to reentry communication blackout, and the communication interruption must be considered in the communication design during reentry in rarefied flow regimes.

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“…The discrete velocity method (DVM) or discrete ordinate method (DOM) has been widely used to solve rarefied flow problems in recent years . Its applications include the field of spacecraft and re‐entry vehicle, microelectromechanical system, plasma transport, and phonon heat transfer and multiple frequency radiative transport .…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation on performance of three solution reconstructions at cell interface in DVM simulation of flows in all Knudsen number regimes

Yang

Chen

Yang

et al. 2019

Numerical Methods in Fluids

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Summary In the conventional discrete velocity method (DVM), the local solution of collisionless Boltzmann equation with a piecewise constant distribution for the distribution function is utilized to reconstruct distribution function at the cell interface and then calculate numerical flux of Boltzmann equation for updating the distribution function at cell center. In this process, a numerical dissipation will be introduced into the solution due to neglecting of the collision effect at the cell interface. This numerical dissipation may deteriorate the solution accuracy of conventional DVM in the continuum flow regime, in which the particle collision happens frequently. To overcome this defect, two improved schemes are first presented in this work, in which the local discrete solution of Boltzmann equation with Shakhov model is adopted to evaluate the distribution function at the cell interface, while the equilibrium state of the local solution is computed by different ways. One of the improved schemes evaluates the equilibrium state exactly by the moments of distribution functions according to the compatibility condition, while the other computes the equilibrium state approximately by a simple average at the cell interface. Since the collision effect is incorporated in evaluation of numerical flux, the improved schemes can provide reasonable solutions in all flow regimes. On the other hand, they introduce some extra computational efforts for determining the collision term at the cell interface as compared with the conventional DVM. To assess the performance of different methods for simulation of flows in all flow regimes, a comprehensive study is then carried out in this work.

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Numerical simulation of flows from free molecular regime to continuum regime by a DVM with streaming and collision processes

Cited by 51 publications

References 45 publications

Third-order discrete unified gas kinetic scheme for continuum and rarefied flows: Low-speed isothermal case

Third-order discrete unified gas kinetic scheme for continuum and rarefied flows: Low-speed isothermal case

DSMC modeling of rarefied ionization reactions and applications to hypervelocity spacecraft reentry flows

Numerical investigation on performance of three solution reconstructions at cell interface in DVM simulation of flows in all Knudsen number regimes

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