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|Title:||Circular function-based gas-kinetic scheme for simulation of inviscid compressible flows|
|Citation:||Yang, L.M., Shu, C., Wu, J., Zhao, N., Lu, Z.L. (2013-12-15). Circular function-based gas-kinetic scheme for simulation of inviscid compressible flows. Journal of Computational Physics 255 : 540-557. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jcp.2013.08.025|
|Abstract:||This paper presents a new gas-kinetic scheme for simulation of compressible inviscid flows. It starts to simplify the integral domain of Maxwellian distribution function over the phase velocity ξ and phase energy ζ to the integral domain of modified Maxwellian function over the phase velocity ξ only. The influence of integral over phase energy ζ is embodied as the particle internal energy e p. The modified Maxwellian function is further simplified to a circular function with the assumption that all the particles are concentrated on a circle. Then two circular function-based gas-kinetic schemes are presented for simulation of compressible inviscid flows. In the new schemes, no error and exponential functions, which are often appeared in the Maxwellian function-based gas-kinetic schemes, are involved. As a result, the new schemes can be implemented in a more efficient way. To validate the proposed new gas-kinetic schemes, test examples in the transonic flow, supersonic flow and hypersonic flow regimes are solved. Numerical results showed that the solution accuracy of the circular function-based gas-kinetic schemes is comparable to that of corresponding Maxwellian function-based gas-kinetic schemes. However, the circular function-based gas-kinetic schemes need less computational effort. © 2013 Elsevier Inc.|
|Source Title:||Journal of Computational Physics|
|Appears in Collections:||Staff Publications|
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