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Volumn 206, Issue 1, 2007, Pages 432-439

Lattice Boltzmann model for two-dimensional unsteady Burgers' equation

Author keywords

4 bit model; Lattice Boltzmann method; Maximum principle; Multi scale analysis; Two dimensional Burgers' equation

Indexed keywords

BOLTZMANN EQUATION; LINEAR STABILITY ANALYSIS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 34249309606     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.08.002     Document Type: Article
Times cited : (57)

References (12)
  • 1
    • 13844320326 scopus 로고
    • The lattice Boltzmann equation: theory and applications
    • Benzi R., Succi S., and Vergassola M. The lattice Boltzmann equation: theory and applications. Phys. Report 222 3 (1992) 145-197
    • (1992) Phys. Report , vol.222 , Issue.3 , pp. 145-197
    • Benzi, R.1    Succi, S.2    Vergassola, M.3
  • 2
    • 26344468007 scopus 로고
    • A model for collision process in gas. I: small amplitude processed in charged and neutral one component system
    • Bhatnagar P., Gross E., and Krook M. A model for collision process in gas. I: small amplitude processed in charged and neutral one component system. Phys. Rev. 94 (1954) 511-525
    • (1954) Phys. Rev. , vol.94 , pp. 511-525
    • Bhatnagar, P.1    Gross, E.2    Krook, M.3
  • 3
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann method for fluid flows
    • Chen S., and Doolen G.D. Lattice Boltzmann method for fluid flows. Annu. Rev. Fluid Mech. 30 (1998) 329-364
    • (1998) Annu. Rev. Fluid Mech. , vol.30 , pp. 329-364
    • Chen, S.1    Doolen, G.D.2
  • 4
    • 0141552499 scopus 로고    scopus 로고
    • Comparisons of Lattice Boltzmann and finite difference methods for a two-dimensional viscous Burgers' equation
    • Elton B.H. Comparisons of Lattice Boltzmann and finite difference methods for a two-dimensional viscous Burgers' equation. SIAM J. Sci. Comput. 17 (1996) 783-813
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 783-813
    • Elton, B.H.1
  • 5
    • 4243825742 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
    • He X.Y., and Lou L.S. Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation. Phy. Rev. E 56 (1997) 6811-6817
    • (1997) Phy. Rev. E , vol.56 , pp. 6811-6817
    • He, X.Y.1    Lou, L.S.2
  • 6
    • 25744459324 scopus 로고    scopus 로고
    • Use of the Boltzmann equation to simulate lattice-gas automata
    • Mcnamara G.R., and Zanetti G. Use of the Boltzmann equation to simulate lattice-gas automata. Phys. Rev. Lett. 61 (1998) 2332-2335
    • (1998) Phys. Rev. Lett. , vol.61 , pp. 2332-2335
    • Mcnamara, G.R.1    Zanetti, G.2
  • 7
    • 33645859586 scopus 로고
    • Lattice Boltzmann computations for reaction-diffusion equations
    • Ponce Dawson S., Chen S., and Doolen G.D. Lattice Boltzmann computations for reaction-diffusion equations. J. Chem. Phys. 2 (1993) 1514-1523
    • (1993) J. Chem. Phys. , vol.2 , pp. 1514-1523
    • Ponce Dawson, S.1    Chen, S.2    Doolen, G.D.3
  • 8
    • 0002585177 scopus 로고
    • Recent advances in lattice Boltzmann computing
    • Qian Y., Succi S., and Orszag S. Recent advances in lattice Boltzmann computing. Annu. Rev. Comput. Phys. 3 (1995) 195-242
    • (1995) Annu. Rev. Comput. Phys. , vol.3 , pp. 195-242
    • Qian, Y.1    Succi, S.2    Orszag, S.3
  • 9
    • 11044220412 scopus 로고    scopus 로고
    • Comparison of higher-order accurate schemes for solving the two-dimensional unsteady Burgers' equation
    • Randwan S.F. Comparison of higher-order accurate schemes for solving the two-dimensional unsteady Burgers' equation. J. Comput. Appl. Math. 174 (2005) 383-397
    • (2005) J. Comput. Appl. Math. , vol.174 , pp. 383-397
    • Randwan, S.F.1
  • 10
    • 24644453492 scopus 로고    scopus 로고
    • Lattice Boltzmann method for Burgers equation
    • Shen Z., Yuan G., and Shen L. Lattice Boltzmann method for Burgers equation. Chinese J. Comput. Phys. 17 (2000) 166-172
    • (2000) Chinese J. Comput. Phys. , vol.17 , pp. 166-172
    • Shen, Z.1    Yuan, G.2    Shen, L.3
  • 12
    • 0346478347 scopus 로고    scopus 로고
    • A lattice Boltzmann equation for Waves
    • Yan G. A lattice Boltzmann equation for Waves. J. Comput. Phys. 161 (2000) 61-69
    • (2000) J. Comput. Phys. , vol.161 , pp. 61-69
    • Yan, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.