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Volumn 50, Issue 10, 2010, Pages 1719-1733

Implicit numerical method for computing three-dimensional rarefied gas flows on unstructured meshes

Author keywords

Implicit TVD scheme; Kinetic equation; Rarefied gas; S model; Unstructured mesh

Indexed keywords


EID: 77958602963     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: 10.1134/S0965542510100088     Document Type: Article
Times cited : (36)

References (23)
  • 1
    • 0348222794 scopus 로고    scopus 로고
    • Study on Gas Kinetic Unified Algorithm for Flows from Rarefied Transition to Continuum
    • Z.-H. Li and H.-X. Zhang, "Study on Gas Kinetic Unified Algorithm for Flows from Rarefied Transition to Continuum," J. Comp. Phys. 193, 708-738 (2004).
    • (2004) J. Comp. Phys. , vol.193 , pp. 708-738
    • Li, Z.-H.1    Zhang, H.-X.2
  • 2
    • 33947143699 scopus 로고    scopus 로고
    • Unified Solver for Rarefied and Continuum Flows with Adaptive Mesh and Algorithm Refinement
    • V. I. Kolobov, R. R. Arslanbekov, V. V. Aristov, et al., "Unified Solver for Rarefied and Continuum Flows with Adaptive Mesh and Algorithm Refinement," J. Comp. Phys. 223, 589-608 (2007).
    • (2007) J. Comp. Phys. , vol.223 , pp. 589-608
    • Kolobov, V.I.1    Arslanbekov, R.R.2    Aristov, V.V.3
  • 3
    • 0005727395 scopus 로고
    • Generalization of the Krook Relaxation Kinetic Equation
    • E. M. Shakhov, "Generalization of the Krook Relaxation Kinetic Equation," Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 142-145 (1968).
    • (1968) Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza , Issue.5 , pp. 142-145
    • Shakhov, E.M.1
  • 5
    • 77951806805 scopus 로고    scopus 로고
    • Numerical Method for Computing Two-Dimensional Unsteady Rarefied Gas Flows in Arbitrarily Shaped Domains
    • [Comput. Math. Math. Phys. 49, 1197-1211 (2009)]
    • V. A. Titarev, "Numerical Method for Computing Two-Dimensional Unsteady Rarefied Gas Flows in Arbitrarily Shaped Domains," Zh. Vychisl. Mat. Mat. Fiz. 49, 1255-1270 (2009) [Comput. Math. Math. Phys. 49, 1197-1211 (2009)].
    • (2009) Zh. Vychisl. Mat. Mat. Fiz. , vol.49 , pp. 1255-1270
    • Titarev, V.A.1
  • 6
    • 77951869188 scopus 로고    scopus 로고
    • High-Order Accurate Conservative Method for Computing the Poiseuille Rarefied Gas Flow in a Channel of Arbitrary Cross Section
    • [Comput. Math. Math. Phys. 50, 537-548 (2010)]
    • V. A. Titarev and E. M. Shakhov, "High-Order Accurate Conservative Method for Computing the Poiseuille Rarefied Gas Flow in a Channel of Arbitrary Cross Section," Zh. Vychisl. Mat. Mat. Fiz. 50, 563-574 (2010) [Comput. Math. Math. Phys. 50, 537-548 (2010)].
    • (2010) Zh. Vychisl. Mat. Mat. Fiz. , vol.50 , pp. 563-574
    • Titarev, V.A.1    Shakhov, E.M.2
  • 7
    • 77951152409 scopus 로고    scopus 로고
    • Implicit Unstructured-Mesh Method for Calculating Poiseuille Flows of Rarefied Gas
    • V. A. Titarev, "Implicit Unstructured-Mesh Method for Calculating Poiseuille Flows of Rarefied Gas," Commun. Comput. Phys. 8, 427-444 (2010).
    • (2010) Commun. Comput. Phys. , vol.8 , pp. 427-444
    • Titarev, V.A.1
  • 8
    • 0347505483 scopus 로고    scopus 로고
    • A Numerical Method for Calculating Axisymmetric Rarefied Gas Flows
    • [Comput. Math. Math. Phys. 38, 1335-1346 (1998)]
    • I. N. Larina and V. A. Rykov, "A Numerical Method for Calculating Axisymmetric Rarefied Gas Flows," Zh. Vychisl. Mat. Mat. Fiz. 38, 1391-1403 (1998) [Comput. Math. Math. Phys. 38, 1335-1346 (1998)].
    • (1998) Zh. Vychisl. Mat. Mat. Fiz. , vol.38 , pp. 1391-1403
    • Larina, I.N.1    Rykov, V.A.2
  • 9
    • 34447651205 scopus 로고
    • Approximate Kinetic Equations in Rarefied Gas Theory
    • E. M. Shakhov, "Approximate Kinetic Equations in Rarefied Gas Theory," Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 158-161 (1968).
    • (1968) Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza , Issue.1 , pp. 158-161
    • Shakhov, E.M.1
  • 10
    • 27144485574 scopus 로고
    • Conservative Numerical Method for Solving a Kinetic Equation at Low Knudsen Numbers
    • M. I. Gradoboev and V. A. Rykov, "Conservative Numerical Method for Solving a Kinetic Equation at Low Knudsen Numbers," Zh. Vychisl. Mat. Mat. Fiz. 34, 246-266 (1994).
    • (1994) Zh. Vychisl. Mat. Mat. Fiz. , vol.34 , pp. 246-266
    • Gradoboev, M.I.1    Rykov, V.A.2
  • 11
    • 33846336138 scopus 로고    scopus 로고
    • Arbitrary High Order Non-Oscillatory Finite Volume Schemes on Unstructured Meshes for Linear Hyperbolic Systems
    • M. Dumbser and M. Käser, "Arbitrary High Order Non-Oscillatory Finite Volume Schemes on Unstructured Meshes for Linear Hyperbolic Systems," J. Comp. Phys. 221, 693-723 (2007).
    • (2007) J. Comp. Phys. , vol.221 , pp. 693-723
    • Dumbser, M.1    Käser, M.2
  • 12
    • 0000935266 scopus 로고
    • Difference Method for Computing Discontinuous Solutions of Fluid Dynamics Equations
    • S. K. Godunov, "Difference Method for Computing Discontinuous Solutions of Fluid Dynamics Equations," Mat. Sb. 47(89), 271-306 (1959).
    • (1959) Mat. Sb. , vol.47 , Issue.89 , pp. 271-306
    • Godunov, S.K.1
  • 13
    • 0002898994 scopus 로고
    • The Principle of Derivative's Minimal Values as Applied to the Construction of Finite-Difference Schemes for Computing Discontinuous Gas Flows
    • V. P. Kolgan, "The Principle of Derivative's Minimal Values as Applied to the Construction of Finite-Difference Schemes for Computing Discontinuous Gas Flows," Uch. Zap. Tsentr. Aerogidrodin. Inst. 3(6), 68-77 (1972).
    • (1972) Uch. Zap. Tsentr. Aerogidrodin. Inst. , vol.3 , Issue.6 , pp. 68-77
    • Kolgan, V.P.1
  • 14
    • 1642457983 scopus 로고
    • Generalization of Modified Godunov Scheme to Arbitrary Irregular Meshes
    • N. I. Tillyaeva, "Generalization of Modified Godunov Scheme to Arbitrary Irregular Meshes," Uch. Zap. Tsentr. Aerogidrodin. Inst. 17(2), 18-26 (1986).
    • (1986) Uch. Zap. Tsentr. Aerogidrodin. Inst. , vol.17 , Issue.2 , pp. 18-26
    • Tillyaeva, N.I.1
  • 17
    • 0042719703 scopus 로고
    • A Conservative Splitting Method for the Boltzmann Equation
    • V. V. Aristov and F. G. Tcheremissine, "A Conservative Splitting Method for the Boltzmann Equation," Zh. Vychisl. Mat. Mat. Fiz. 20, 191-207 (1980).
    • (1980) Zh. Vychisl. Mat. Mat. Fiz. , vol.20 , pp. 191-207
    • Aristov, V.V.1    Tcheremissine, F.G.2
  • 18
    • 34447626807 scopus 로고    scopus 로고
    • Conservative Numerical Methods for Model Kinetic Equations
    • V. A. Titarev, "Conservative Numerical Methods for Model Kinetic Equations," Comput. Fluids 36, 1446-1459 (2007).
    • (2007) Comput. Fluids , vol.36 , pp. 1446-1459
    • Titarev, V.A.1
  • 19
    • 31444453891 scopus 로고    scopus 로고
    • Numerical Calculation of the Hypersonic Rarefied Gas Transverse Flow past a Cold Flat Plate
    • V. A. Titarev and E. M. Shakhov, "Numerical Calculation of the Hypersonic Rarefied Gas Transverse Flow past a Cold Flat Plate," Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 5, 139-154 (2005).
    • (2005) Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza , Issue.5 , pp. 139-154
    • Titarev, V.A.1    Shakhov, E.M.2
  • 20
    • 24944487450 scopus 로고    scopus 로고
    • Numerical Study of Intense Unsteady Evaporation from the Surface of a Sphere
    • [Comput. Math. Math. Phys. 44, 1245-1258 (2004)]
    • V. A. Titarev and E. M. Shakhov, "Numerical Study of Intense Unsteady Evaporation from the Surface of a Sphere," Zh. Vychisl. Mat. Mat. Fiz. 44, 1314-1328 (2004) [Comput. Math. Math. Phys. 44, 1245-1258 (2004)].
    • (2004) Zh. Vychisl. Mat. Mat. Fiz. , vol.44 , pp. 1314-1328
    • Titarev, V.A.1    Shakhov, E.M.2
  • 22
    • 0034106264 scopus 로고    scopus 로고
    • On Implicit Godunov's Method with Exactly Linearized Numerical Flux
    • I. S. Men'shov and Y. Nakamura, "On Implicit Godunov's Method with Exactly Linearized Numerical Flux," Comput. Fluids 29, 595-616 (2000).
    • (2000) Comput. Fluids , vol.29 , pp. 595-616
    • Men'Shov, I.S.1    Nakamura, Y.2
  • 23
    • 33747325539 scopus 로고
    • Recondensation of a Monatomic Gas at Low Knudsen Numbers
    • A. M. Bishaev and V. A. Rykov, "Recondensation of a Monatomic Gas at Low Knudsen Numbers," Zh. Vychisl. Mat. Mat. Fiz. 18, 710-717 (1978).
    • (1978) Zh. Vychisl. Mat. Mat. Fiz. , vol.18 , pp. 710-717
    • Bishaev, A.M.1    Rykov, V.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.