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Title Novel LBM scheme for Euler equations
 
Names AGARWAL, A
AGRAWAL, A
PURANIK, B
SHU, C
Date Issued 2009 (iso8601)
Abstract Lattice Boltzmann Method (LBM) as a relatively new numerical method has recently achieved considerable success in simulating compressible fluid flows. A hybrid method, which is a combination of the usual Finite Volume Method (FVM) and the LBM, is proposed here to solve the Euler Equations. The inter-cell parameters are obtained by solving the local Riemann problem for each inter-cell using LBM. LBM is a non-iterative process and is thus numerically inexpensive as compared to the Godunov scheme. The proposed scheme is benchmarked for several 1-D problems such as the shock tube problem, the Roe test and the Riemann problem. The results obtained using this hybrid method are compared with those obtained using the Godunov scheme.
Genre Proceedings Paper
Topic Lattice Boltzmann Method
Identifier SHOCK WAVES, VOL 2, PROCEEDINGS,1029-1034