메뉴 건너뛰기




Volumn , Issue , 2005, Pages

Numerical modeling of micron-scale flows using the Gaussian moment closure

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; GAUSSIAN DISTRIBUTION; HYPERBOLIC FUNCTIONS;

EID: 85087597792     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2005-5035     Document Type: Conference Paper
Times cited : (10)

References (56)
  • 1
    • 0001891327 scopus 로고
    • MEMS: Mircoelectromechanical Systems
    • O'Connor, L., "MEMS: Mircoelectromechanical Systems, " Mechanical Engineering Journal, Vol. 114, No. 2, 1992, pp. 40-47.
    • (1992) Mechanical Engineering Journal , vol.114 , Issue.2 , pp. 40-47
    • O'Connor, L.1
  • 3
    • 0028518211 scopus 로고
    • Simulation of Heat and Momentum Transfer in Complex Microgeometries
    • Beskok, A. and Karniadakis, G. E., "Simulation of Heat and Momentum Transfer in Complex Microgeometries, " Journal of Thermophysics and Heat Transfer, Vol. 8, No. 4, 1994, pp. 647-655.
    • (1994) Journal of Thermophysics and Heat Transfer , vol.8 , Issue.4 , pp. 647-655
    • Beskok, A.1    Karniadakis, G.E.2
  • 5
    • 77952649046 scopus 로고
    • Microchannel Flow Computed with the DSMC-MLG
    • Paper 95-2090, AIAA, June
    • Oh, C. K., Oran, E. S., and Cybyk, B. Z., "Microchannel Flow Computed with the DSMC-MLG, " Paper 95-2090, AIAA, June 1995.
    • (1995)
    • Oh, C.K.1    Oran, E.S.2    Cybyk, B.Z.3
  • 6
    • 3743050906 scopus 로고
    • DSMC Modeling of Micromechanical Devices
    • Paper 95-2089, AIAA, June
    • Piekos, E. S. and Breuer, K. S., "DSMC Modeling of Micromechanical Devices, " Paper 95-2089, AIAA, June 1995.
    • (1995)
    • Piekos, E.S.1    Breuer, K.S.2
  • 8
    • 34250720615 scopus 로고
    • DSMC Simulations of Continuum Flows
    • Paper 95-2088, AIAA, June
    • Breuer, K. S., Piekos, E. S., and Gonzales, D. A., "DSMC Simulations of Continuum Flows, " Paper 95-2088, AIAA, June 1995.
    • (1995)
    • Breuer, K.S.1    Piekos, E.S.2    Gonzales, D.A.3
  • 9
    • 0030534703 scopus 로고    scopus 로고
    • Moment Closure Hierarchies for Kinetic Theories
    • Levermore, C. D., "Moment Closure Hierarchies for Kinetic Theories, " Journal of Statistical Physics, Vol. 83, 1996, pp. 1021-1065.
    • (1996) Journal of Statistical Physics , vol.83 , pp. 1021-1065
    • Levermore, C.D.1
  • 10
    • 0042732430 scopus 로고    scopus 로고
    • Gaussian-Based Moment-Method Closures for the Solution of the Boltzmann Equation
    • edited by J. Glimm, M. J. Graham, J. W. Grove, and B. J. Plohr, World Scientific, New Jersey, Theory, Numerics, Applications, University of New York at Stony Brook, Stony Brook, New York, U.S.A., June 13-17, 1994
    • Groth, C. P. T., Gombosi, T. I., Roe, P. L., and Brown, S. L., "Gaussian-Based Moment-Method Closures for the Solution of the Boltzmann Equation, " Proceedings of the Fifth International Conference on Hyperbolic Problems-Theory, Numerics, Applications, University of New York at Stony Brook, Stony Brook, New York, U.S.A., June 13-17, 1994, edited by J. Glimm, M. J. Graham, J. W. Grove, and B. J. Plohr, World Scientific, New Jersey, 1996, pp. 339-346.
    • (1996) Proceedings of the Fifth International Conference on Hyperbolic Problems , pp. 339-346
    • Groth, C.P.T.1    Gombosi, T.I.2    Roe, P.L.3    Brown, S.L.4
  • 11
    • 5944230623 scopus 로고
    • On the Nonstationary Wave Structure of a 35-Moment Closure for Rarefied Gas Dynamics
    • Paper 95-2312, AIAA, June
    • Groth, C. P. T., Roe, P. L., Gombosi, T. I., and Brown, S. L., "On the Nonstationary Wave Structure of a 35-Moment Closure for Rarefied Gas Dynamics, " Paper 95-2312, AIAA, June 1995.
    • (1995)
    • Groth, C.P.T.1    Roe, P.L.2    Gombosi, T.I.3    Brown, S.L.4
  • 12
    • 77953641147 scopus 로고
    • Numerical Solution of a 10-Moment Model for Nonequilibrium Gasdynamics
    • Paper 95-1677, AIAA, June
    • Brown, S. L., Roe, P. L., and Groth, C. P. T., "Numerical Solution of a 10-Moment Model for Nonequilibrium Gasdynamics, " Paper 95-1677, AIAA, June 1995.
    • (1995)
    • Brown, S.L.1    Roe, P.L.2    Groth, C.P.T.3
  • 16
    • 78149422690 scopus 로고    scopus 로고
    • Application of the 10-moment model to MEMS flows
    • Paper 2005-1398, AIAA, January
    • Suzuki, Y. and van Leer, B., "Application of the 10-moment model to MEMS flows, " Paper 2005-1398, AIAA, January 2005.
    • (2005)
    • Suzuki, Y.1    van Leer, B.2
  • 18
    • 0002860196 scopus 로고
    • On the Kinetic Theory of a Gas. Part II.-A Composite Monoatomic Gas: Diffusion, Viscosity, and Thermal Conduction
    • Chapman, S., "On the Kinetic Theory of a Gas. Part II.-A Composite Monoatomic Gas: Diffusion, Viscosity, and Thermal Conduction, " Philosophical Transactions of the Royal Society of London A, Vol. 217, 1916, pp. 115-116.
    • (1916) Philosophical Transactions of the Royal Society of London A , vol.217 , pp. 115-116
    • Chapman, S.1
  • 20
    • 84926951060 scopus 로고
    • The Distribution of Velocities in a Slightly Non-Uniform Gas
    • Burnett, D., "The Distribution of Velocities in a Slightly Non-Uniform Gas, " Proceedings of the London Mathematics Society, Vol. 39, 1935, pp. 385-430.
    • (1935) Proceedings of the London Mathematics Society , vol.39 , pp. 385-430
    • Burnett, D.1
  • 21
    • 0000935266 scopus 로고
    • Finite-Difference Method for Numerical Computations of Discontinuous Solutions of the Equations of Fluid Dynamics
    • Godunov, S. K., "Finite-Difference Method for Numerical Computations of Discontinuous Solutions of the Equations of Fluid Dynamics, " Matematicheskii Sbornik, Vol. 47, 1959, pp. 271-306.
    • (1959) Matematicheskii Sbornik , vol.47 , pp. 271-306
    • Godunov, S.K.1
  • 22
    • 2442433925 scopus 로고
    • Towards the Ultimate Conservative Difference Scheme. V. A Second-Order Sequel to Godunov's Method
    • van Leer, B., "Towards the Ultimate Conservative Difference Scheme. V. A Second-Order Sequel to Godunov's Method, " Journal of Computational Physics, Vol. 32, 1979, pp. 101-136.
    • (1979) Journal of Computational Physics , vol.32 , pp. 101-136
    • van Leer, B.1
  • 23
    • 40749159424 scopus 로고
    • High Resolution Schemes for Hyperbolic Conservation Laws
    • Harten, A., "High Resolution Schemes for Hyperbolic Conservation Laws, " Journal of Computational Physics, Vol. 49, 1983, pp. 357-393.
    • (1983) Journal of Computational Physics , vol.49 , pp. 357-393
    • Harten, A.1
  • 24
    • 34547419627 scopus 로고
    • The Piecewise Parabolic Method (PPM) for Gas-Dynamical Simulations
    • Colella, P. and Woodward, P. R., "The Piecewise Parabolic Method (PPM) for Gas-Dynamical Simulations, " Journal of Computational Physics, Vol. 54, 1984, pp. 174-210.
    • (1984) Journal of Computational Physics , vol.54 , pp. 174-210
    • Colella, P.1    Woodward, P.R.2
  • 25
    • 0007245319 scopus 로고
    • Construction of Explicit and Implicit Symmetric TVD Schemes and Their Applications
    • Yee, H. C., "Construction of Explicit and Implicit Symmetric TVD Schemes and Their Applications, " Journal of Computational Physics, Vol. 68, 1987, pp. 151-179.
    • (1987) Journal of Computational Physics , vol.68 , pp. 151-179
    • Yee, H.C.1
  • 26
    • 11744289966 scopus 로고
    • Local Adaptive Mesh Refinement for Shock Hydrodynamics
    • Berger, M. J. and Colella, P., "Local Adaptive Mesh Refinement for Shock Hydrodynamics, " Journal of Computational Physics, Vol. 82, 1989, pp. 67-84.
    • (1989) Journal of Computational Physics , vol.82 , pp. 67-84
    • Berger, M.J.1    Colella, P.2
  • 27
    • 28144436430 scopus 로고
    • An Adaptively Refined Cartesian Mesh Solver for the Euler Equations
    • De Zeeuw, D. and Powell, K. G., "An Adaptively Refined Cartesian Mesh Solver for the Euler Equations, " Journal of Computational Physics, Vol. 104, 1993, pp. 56-68.
    • (1993) Journal of Computational Physics , vol.104 , pp. 56-68
    • De Zeeuw, D.1    Powell, K.G.2
  • 28
    • 0001457183 scopus 로고    scopus 로고
    • Robust and Efficient Cartesian Mesh Generation for Component-Base Geometry
    • Aftomis, M. J., Berger, M. J., and Melton, J. E., "Robust and Efficient Cartesian Mesh Generation for Component-Base Geometry, " AIAA Journal, Vol. 36, No. 6, 1998, pp. 952-960.
    • (1998) AIAA Journal , vol.36 , Issue.6 , pp. 952-960
    • Aftomis, M.J.1    Berger, M.J.2    Melton, J.E.3
  • 29
    • 0040117870 scopus 로고
    • A Parallel Adaptive Mesh Refinement Algorithm
    • Report 93-63, ICASE, August
    • Quirk, J. J. and Hanebutte, U. R., "A Parallel Adaptive Mesh Refinement Algorithm, " Report 93-63, ICASE, August 1993.
    • (1993)
    • Quirk, J.J.1    Hanebutte, U.R.2
  • 30
    • 0040117871 scopus 로고    scopus 로고
    • A Parallel Solution-Adaptive Scheme for Ideal Magnetohydrodynamics
    • Paper 99-3273, AIAA, June
    • Groth, C. P. T., Zeeuw, D. L. D., Powell, K. G., Gombosi, T. I., and Stout, Q. F., "A Parallel Solution-Adaptive Scheme for Ideal Magnetohydrodynamics, " Paper 99-3273, AIAA, June 1999.
    • (1999)
    • Groth, C.P.T.1    Zeeuw, D.L.D.2    Powell, K.G.3    Gombosi, T.I.4    Stout, Q.F.5
  • 31
    • 30744477402 scopus 로고    scopus 로고
    • Applications of Space-Filling Curves to Cartesian Methods for CFD
    • Paper 2004-1232, AIAA, January
    • Aftomis, M. J., Berger, M. J., and Murman, S. M., "Applications of Space-Filling Curves to Cartesian Methods for CFD, " Paper 2004-1232, AIAA, January 2004.
    • (2004)
    • Aftomis, M.J.1    Berger, M.J.2    Murman, S.M.3
  • 34
    • 0004094529 scopus 로고
    • Cambridge University Press, Cambridge
    • Gombosi, T. I., Gaskinetic Theory, Cambridge University Press, Cambridge, 1994.
    • (1994) Gaskinetic Theory
    • Gombosi, T.I.1
  • 35
    • 26344468007 scopus 로고
    • A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
    • Bhatnagar, P. L., Gross, E. P., and Krook, M., "A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems, " Physical Review, Vol. 94, No. 3, 1954, pp. 511-525.
    • (1954) Physical Review , vol.94 , Issue.3 , pp. 511-525
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 37
    • 0040731052 scopus 로고
    • Allgemeine 13-Momenten-N̈aherung zur Fokker-Planck-Gleichung eines Plasmas
    • Hertweck, F., "Allgemeine 13-Momenten-N̈aherung zur Fokker-Planck-Gleichung eines Plasmas, " Zeitschrift f̈ur Naturforschung, Vol. 20a, 1965, pp. 1243-1255.
    • (1965) Zeitschrift f̈ur Naturforschung , vol.20 A , pp. 1243-1255
    • Hertweck, F.1
  • 38
    • 0039760999 scopus 로고
    • Hydrodynamic Equations for Plasmas in Strong Magnetic Fields-I Collisionless Approximation
    • Oraevskii, V., Chodura, R., and Feneberg, W., "Hydrodynamic Equations for Plasmas in Strong Magnetic Fields-I Collisionless Approximation, " Plasma Physics, Vol. 10, 1968, pp. 819-828.
    • (1968) Plasma Physics , vol.10 , pp. 819-828
    • Oraevskii, V.1    Chodura, R.2    Feneberg, W.3
  • 40
    • 0001228503 scopus 로고
    • Kinetic Theory of Shock Structure Using an Ellipsoidal Distribution Function
    • edited by J. H. de Leeuw, Vol. I, Academic Press, New York
    • Holway, L. H., "Kinetic Theory of Shock Structure Using an Ellipsoidal Distribution Function, " Rarefied Gas Dynamics, edited by J. H. de Leeuw, Vol. I, Academic Press, New York, 1966, pp. 193-215.
    • (1966) Rarefied Gas Dynamics , pp. 193-215
    • Holway, L.H.1
  • 41
    • 76449096620 scopus 로고
    • The Effect of Collisional Models upon Shock Wave Structure
    • edited by C. L. Brundin, Vol. I, Academic Press, New York
    • Holway, L. H., "The Effect of Collisional Models upon Shock Wave Structure, " Rarefied Gas Dynamics, edited by C. L. Brundin, Vol. I, Academic Press, New York, 1967, pp. 759-784.
    • (1967) Rarefied Gas Dynamics , pp. 759-784
    • Holway, L.H.1
  • 42
    • 0040102093 scopus 로고
    • Hydrodynamic Equations for Plasmas in Strong Magnetic Fields-II Transport Equations Including Collisions
    • Chodura, R. and Pohl, F., "Hydrodynamic Equations for Plasmas in Strong Magnetic Fields-II Transport Equations Including Collisions, " Plasma Physics, Vol. 13, 1971, pp. 645-658.
    • (1971) Plasma Physics , vol.13 , pp. 645-658
    • Chodura, R.1    Pohl, F.2
  • 43
    • 0018492348 scopus 로고
    • Transport Equations for Multispecies Plasmas Based on Individual Bi-Maxwellian Distributions
    • Demars, H. G. and Schunk, R. W., "Transport Equations for Multispecies Plasmas Based on Individual Bi-Maxwellian Distributions, " Journal of Physics D: Applied Physics, Vol. 12, 1979, pp. 1051-1077.
    • (1979) Journal of Physics D: Applied Physics , vol.12 , pp. 1051-1077
    • Demars, H.G.1    Schunk, R.W.2
  • 44
    • 2942757053 scopus 로고
    • Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes
    • Roe, P. L., "Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes, " Journal of Computational Physics, Vol. 43, 1981, pp. 357-372.
    • (1981) Journal of Computational Physics , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 45
    • 0003967583 scopus 로고
    • Recent Developments in High Order K-Exact Reconstruction on Unstructured Meshes
    • Paper 93-0668, AIAA, January
    • Barth, T. J., "Recent Developments in High Order K-Exact Reconstruction on Unstructured Meshes, " Paper 93-0668, AIAA, January 1993.
    • (1993)
    • Barth, T.J.1
  • 46
    • 0003740639 scopus 로고
    • On the Accuracy of Limiters and Convergence to Steady State Solutions
    • Paper 93-0880, AIAA, January
    • Venkatakrishnan, V., "On the Accuracy of Limiters and Convergence to Steady State Solutions, " Paper 93-0880, AIAA, January 1993.
    • (1993)
    • Venkatakrishnan, V.1
  • 47
    • 0001394094 scopus 로고
    • On Godunov-Type Methods for Gas Dynamics
    • Einfeldt, B., "On Godunov-Type Methods for Gas Dynamics, " SIAM Journal on Numerical Analysis, Vol. 25, 1988, pp. 294-318.
    • (1988) SIAM Journal on Numerical Analysis , vol.25 , pp. 294-318
    • Einfeldt, B.1
  • 48
    • 12344335045 scopus 로고    scopus 로고
    • A Parallel Solution-Adaptive Scheme for Predicting Multi-Phase Core Flows in Solid Propellant Rocket Motors
    • Sachdev, J. S., Groth, C. P. T., and Gottlieb, J. J., "A Parallel Solution-Adaptive Scheme for Predicting Multi-Phase Core Flows in Solid Propellant Rocket Motors, " International Journal of Computational Fluid Dynamics, Vol. 19, No. 2, 2005, pp. 157-175.
    • (2005) International Journal of Computational Fluid Dynamics , vol.19 , Issue.2 , pp. 157-175
    • Sachdev, J.S.1    Groth, C.P.T.2    Gottlieb, J.J.3
  • 52
    • 0001091839 scopus 로고    scopus 로고
    • Conservative Smoothing on an Adaptive Quadrilateral Grid
    • Sun, M. and Takayama, K., "Conservative Smoothing on an Adaptive Quadrilateral Grid, " Journal of Computational Physics, Vol. 150, 1999, pp. 143-180.
    • (1999) Journal of Computational Physics , vol.150 , pp. 143-180
    • Sun, M.1    Takayama, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.