유한체적법 기반의 격자 볼츠만 해석 기법을 이용한 이차원 압축성 점성 유동 해석 SIMULATION OF TWO-DIMENSIONAL COMPRESSIBLE VISCOUS FLOWS USING THE FINITE-VOLUME LATTICE BOLTZMANN METHOD

Cited 0 time in webofscience Cited 0 time in scopus
  • Hit : 71
  • Download : 0
This paper presents a finite-volume based lattice Boltzmann method for simulation of full compressible flows with flexible Prandtl number. The equilibrium distribution function is replaced with circular function where all mass, momentum, and energy is equally distributed along a circle. Two different density distribution functions are newly introduced to develop lattice Boltzmann model for compressible viscous flows. The equilibrium distribution function for the evolution equations can be derived from the integration of the Lagrangian interpolation polynomial, which depends on the configurations of the lattice model in the velocity phase space. Two-dimensional compressible flows in a shock tube were investigated to verify the accuracy of the current lattice Boltzmann method. The lattice Boltzmann method based on circular function was successfully adopted to two-dimenstional unsteady simulations with strong contact discontinuities. The present lattice Boltzmann code is applied to the subsonic laminar flow over an NACA0012 airfoil, and the computed results show fair agreement with the Navier-Stokes solution. The hypersonic flow passing through a cylinder is selected as a test case to verify the performances of the current lattice Boltzmann approach. The present solver gives a reasonable agreement with the continuum-based simulation results for flows including detached normal shock wave near the leading edge. Our results imply that the replacement of the Maxwellian distribution function with circular function may be the suitable approach for the evaluation of compressible viscous flows.
Publisher
한국전산유체공학회
Issue Date
2018-06
Language
Korean
Keywords

전산유체역학(Computational Fluid Dynamics); 볼츠만 방정식(Boltzmann Equation); 격자 볼츠만 해석 기법(Lattice Boltzmann Method); 압축성 유동(Compressible Flows); 비정렬 격자계(Unstructured Meshes)

Citation

한국전산유체공학회지, v.23, no.2, pp.44 - 52

ISSN
1598-6071
DOI
10.6112/kscfe.2018.23.2.044
URI
http://hdl.handle.net/10203/247158
Appears in Collection
AE-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0