-
1
-
-
0035540065
-
Second order Chebyshev methods based on orthogonal polynomials
-
A. ABDULLE AND A. A. MEDOVIKOV, Second order Chebyshev methods based on orthogonal polynomials, Numer. Math., 90 (2001), pp. 1-18.
-
(2001)
Numer. Math
, vol.90
, pp. 1-18
-
-
ABDULLE, A.1
MEDOVIKOV, A.A.2
-
2
-
-
0035477840
-
Beyond Navier-Stokes: Burnett equations for flows in the continuum-transition regime
-
R. K. AGARWAL, K. Y. YUN, AND R. BALAKRISHNAN, Beyond Navier-Stokes: Burnett equations for flows in the continuum-transition regime, Phys. Fluids, 13 (2001), pp. 3061-3085.
-
(2001)
Phys. Fluids
, vol.13
, pp. 3061-3085
-
-
AGARWAL, R.K.1
YUN, K.Y.2
BALAKRISHNAN, R.3
-
3
-
-
85023621268
-
-
R. K. AGARWAL, K. Y. YUN, AND R. BALAKRISHNAN, Erratum: Beyond Navier-Stokes: Burnett equations for flows in the continuum-transition regime, Phys. Fluids, 14 (2002), p. 1818.
-
R. K. AGARWAL, K. Y. YUN, AND R. BALAKRISHNAN, Erratum: Beyond Navier-Stokes: Burnett equations for flows in the continuum-transition regime, Phys. Fluids, 14 (2002), p. 1818.
-
-
-
-
4
-
-
0004444546
-
-
Ph.D. dissertation, Technical University of Berlin, Berlin, Germany
-
J. D. AU, Lösung nichtlinearer Probleme in der Erweiterten Thermodynamik, Ph.D. dissertation, Technical University of Berlin, Berlin, Germany, 2001.
-
(2001)
Lösung nichtlinearer Probleme in der Erweiterten Thermodynamik
-
-
AU, J.D.1
-
5
-
-
0035424714
-
The shock tube study in extended thermodynamics
-
J. D. AU, M. TORRILHON, AND W. WEISS, The shock tube study in extended thermodynamics, Phys. Fluids, 13 (2001), pp. 2423-2432.
-
(2001)
Phys. Fluids
, vol.13
, pp. 2423-2432
-
-
AU, J.D.1
TORRILHON, M.2
WEISS, W.3
-
7
-
-
0001848552
-
The Chapman-Enskog and Grad methods for solving the Boltzmann equation
-
A. V. BOBYLEV, The Chapman-Enskog and Grad methods for solving the Boltzmann equation, Soviet Phys. Dokl., 27 (1982), pp. 29-31.
-
(1982)
Soviet Phys. Dokl
, vol.27
, pp. 29-31
-
-
BOBYLEV, A.V.1
-
8
-
-
0003207525
-
-
Ph.D. dissertation, University of Michigan, Ann Arbor, MI
-
S. BROWN, Approximate Riemann Solvers for Moment Models of Dilute Gases, Ph.D. dissertation, University of Michigan, Ann Arbor, MI, 1999.
-
(1999)
Approximate Riemann Solvers for Moment Models of Dilute Gases
-
-
BROWN, S.1
-
9
-
-
0001407297
-
Uniformly accurate schemes for hyperbolic systems with relaxation
-
R. E. CAFLISCH, S. JIN, AND G. RUSSO, Uniformly accurate schemes for hyperbolic systems with relaxation, SIAM J. Numer. Anal., 34 (1997), pp. 246-281.
-
(1997)
SIAM J. Numer. Anal
, vol.34
, pp. 246-281
-
-
CAFLISCH, R.E.1
JIN, S.2
RUSSO, G.3
-
10
-
-
0028156603
-
A multiple translational temperature gas dynamics model
-
G. V. CANDLER, S. NIJHAWAN, D. BOSE, AND I. D. BOYD, A multiple translational temperature gas dynamics model, Phys. Fluids, 6 (1994), pp. 3776-3786.
-
(1994)
Phys. Fluids
, vol.6
, pp. 3776-3786
-
-
CANDLER, G.V.1
NIJHAWAN, S.2
BOSE, D.3
BOYD, I.D.4
-
12
-
-
0001394094
-
On Godunov-type methods for gas dynamics
-
B. EINFELDT, On Godunov-type methods for gas dynamics, SIAM J. Numer. Anal., 25 (1988), pp. 294-318.
-
(1988)
SIAM J. Numer. Anal
, vol.25
, pp. 294-318
-
-
EINFELDT, B.1
-
13
-
-
0000800573
-
A modified moment method and irreversible thermodynamics
-
B.-C. EU, A modified moment method and irreversible thermodynamics, J. Chem. Phys., 73 (1980), pp. 2958-2969.
-
(1980)
J. Chem. Phys
, vol.73
, pp. 2958-2969
-
-
EU, B.-C.1
-
15
-
-
84980081651
-
On the kinetic theory of rarefied gases
-
H. GRAD, On the kinetic theory of rarefied gases, Comm. Pure Appl. Math., 2 (1949), pp. 331-407.
-
(1949)
Comm. Pure Appl. Math
, vol.2
, pp. 331-407
-
-
GRAD, H.1
-
16
-
-
0001294845
-
Principles of the kinetic theory of gases
-
S. Flügge, ed, Springer, Berlin
-
H. GRAD, Principles of the kinetic theory of gases, in Handbuch der Physik, Vol. 12, S. Flügge, ed., Springer, Berlin, 1958.
-
(1958)
Handbuch der Physik
, vol.12
-
-
GRAD, H.1
-
17
-
-
0001862602
-
Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms
-
S. JIN, Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms, J. Comput. Phys., 122 (1995), pp. 51-67.
-
(1995)
J. Comput. Phys
, vol.122
, pp. 51-67
-
-
JIN, S.1
-
18
-
-
0035536415
-
-
S. JIN AND M. SLEMROD, Regularization of the Burnett equations via relaxation, J. Statist. Phys., 103 (2001), pp. 1009-1033.
-
S. JIN AND M. SLEMROD, Regularization of the Burnett equations via relaxation, J. Statist. Phys., 103 (2001), pp. 1009-1033.
-
-
-
-
19
-
-
0141641004
-
A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion
-
S. JIN, L. PARESCHI, AND M. SLEMROD, A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion, Acta Math. Appl. Sin. Engl. Ser., 18 (2002), pp. 37-62.
-
(2002)
Acta Math. Appl. Sin. Engl. Ser
, vol.18
, pp. 37-62
-
-
JIN, S.1
PARESCHI, L.2
SLEMROD, M.3
-
20
-
-
84889780308
-
-
2nd ed, Springer, Berlin
-
D. JOU, J. CASAS-VAZQUEZ, AND G. LEBON, Extended Irreversible Thermodynamics, 2nd ed., Springer, Berlin, 1996.
-
(1996)
Extended Irreversible Thermodynamics
-
-
JOU, D.1
CASAS-VAZQUEZ, J.2
LEBON, G.3
-
21
-
-
0032259525
-
Domain of definition of Levermore's five-moment system
-
M. JUNK, Domain of definition of Levermore's five-moment system, J. Statist. Phys., 93 (1998), pp. 1143-1167.
-
(1998)
J. Statist. Phys
, vol.93
, pp. 1143-1167
-
-
JUNK, M.1
-
22
-
-
0001255530
-
Dynamic correction to moment approximations
-
I. V. KARLIN, A. N. GORBAN, G. DUKEK, AND T. F. NONNENMACHER, Dynamic correction to moment approximations, Phys. Rev. E (3), 57 (1998), pp. 1668-1672.
-
(1998)
Phys. Rev. E
, vol.57
, Issue.3
, pp. 1668-1672
-
-
KARLIN, I.V.1
GORBAN, A.N.2
DUKEK, G.3
NONNENMACHER, T.F.4
-
25
-
-
0001315315
-
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
-
R. J. LEVEQUE, Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm, J. Comput. Phys., 146 (1998), pp. 346-365.
-
(1998)
J. Comput. Phys
, vol.146
, pp. 346-365
-
-
LEVEQUE, R.J.1
-
26
-
-
0030534703
-
Moment closure hierarchies for kinetic theories
-
C. D. LEVERMORE, Moment closure hierarchies for kinetic theories, J. Statist. Phys., 83 (1996), pp. 1021-1065.
-
(1996)
J. Statist. Phys
, vol.83
, pp. 1021-1065
-
-
LEVERMORE, C.D.1
-
27
-
-
0034431558
-
Central schemes for balance laws of relaxation type
-
S. F. LIOTTA, V. ROMANO, AND G. RUSSO, Central schemes for balance laws of relaxation type, SIAM J. Numer. Anal., 38 (2000), pp. 1337-1356.
-
(2000)
SIAM J. Numer. Anal
, vol.38
, pp. 1337-1356
-
-
LIOTTA, S.F.1
ROMANO, V.2
RUSSO, G.3
-
28
-
-
0037670515
-
High-resolution Burnett simulations of micro Couette flow and heat transfer
-
D. A. LOCKERBY AND J. M. REESE, High-resolution Burnett simulations of micro Couette flow and heat transfer, J. Comput. Phys., 188 (2003), pp. 333-347.
-
(2003)
J. Comput. Phys
, vol.188
, pp. 333-347
-
-
LOCKERBY, D.A.1
REESE, J.M.2
-
29
-
-
0003362738
-
Rational Extended Thermodynamics
-
2nd ed, Springer, New York
-
I. MÜLLER AND T. RUGGERI, Rational Extended Thermodynamics, 2nd ed., Springer Tracts Nat. Philos. 37, Springer, New York, 1998.
-
(1998)
Springer Tracts Nat. Philos
, vol.37
-
-
MÜLLER, I.1
RUGGERI, T.2
-
30
-
-
0038575775
-
Extended thermodynamics - Consistent in order of magnitude
-
I. MÜLLER, D. REITEBUCH, AND W. WEISS, Extended thermodynamics - Consistent in order of magnitude, Contin. Mech. Thermodyn., 15 (2003), pp. 411-425.
-
(2003)
Contin. Mech. Thermodyn
, vol.15
, pp. 411-425
-
-
MÜLLER, I.1
REITEBUCH, D.2
WEISS, W.3
-
31
-
-
0002927240
-
A computational method for Eu's generalized hydrodynamic equations of rarefied and microscale gasdynamics
-
R.-S. MYONG, A computational method for Eu's generalized hydrodynamic equations of rarefied and microscale gasdynamics, J. Comput. Phys., 168 (2001), pp. 47-72.
-
(2001)
J. Comput. Phys
, vol.168
, pp. 47-72
-
-
MYONG, R.-S.1
-
32
-
-
28844475047
-
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
-
L. PARESCHI AND G. RUSSO, Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation, J. Sci. Comput., 25 (2004), pp. 129-155.
-
(2004)
J. Sci. Comput
, vol.25
, pp. 129-155
-
-
PARESCHI, L.1
RUSSO, G.2
-
33
-
-
0032074119
-
Hybrid Euler/ particle approach for cotinuum/rarefied flow
-
R. ROVEDA, D. B. GOLDSTEIN, AND P. L. VARGHESE, Hybrid Euler/ particle approach for cotinuum/rarefied flow, J. Spacecr. Rockets, 35 (1998), pp. 258-265.
-
(1998)
J. Spacecr. Rockets
, vol.35
, pp. 258-265
-
-
ROVEDA, R.1
GOLDSTEIN, D.B.2
VARGHESE, P.L.3
-
34
-
-
0034346684
-
The cumulant method in computational kinetic theory
-
S. SEEGER AND H. HOFFMANN, The cumulant method in computational kinetic theory, Contin. Mech. Thermodyn., 12 (2000), pp. 403-421.
-
(2000)
Contin. Mech. Thermodyn
, vol.12
, pp. 403-421
-
-
SEEGER, S.1
HOFFMANN, H.2
-
37
-
-
37649033088
-
Heat transfer in the transition regime: Solution of boundary value problems for Grad's moment equations via kinetic schemes
-
H. STRUCHTRUP, Heat transfer in the transition regime: Solution of boundary value problems for Grad's moment equations via kinetic schemes, Phys. Rev. E (3), 65 (2002), 041204.
-
(2002)
Phys. Rev. E
, vol.65
, Issue.3
, pp. 041204
-
-
STRUCHTRUP, H.1
-
38
-
-
8844265401
-
Stable transport equations for rarefied gases at high orders in the Knudsen number
-
H. STRUCHTRUP, Stable transport equations for rarefied gases at high orders in the Knudsen number, Phys. Fluids, 16 (2004), pp. 3921-3934.
-
(2004)
Phys. Fluids
, vol.16
, pp. 3921-3934
-
-
STRUCHTRUP, H.1
-
39
-
-
4344625074
-
Derivation of 13 moment equations for rarefied gas flow to second order accuracy for arbitrary interaction potentials
-
H. STRUCHTRUP, Derivation of 13 moment equations for rarefied gas flow to second order accuracy for arbitrary interaction potentials, Multiscale Model. Simul., 3 (2005), pp. 221-243.
-
(2005)
Multiscale Model. Simul
, vol.3
, pp. 221-243
-
-
STRUCHTRUP, H.1
-
40
-
-
0141649317
-
Regularization of Grad's 13-moment-equations: Derivation and linear analysis
-
H. STRUCHTRUP AND M. TORRILHON, Regularization of Grad's 13-moment-equations: Derivation and linear analysis, Phys. Fluids, 15 (2003), pp. 2668-2680.
-
(2003)
Phys. Fluids
, vol.15
, pp. 2668-2680
-
-
STRUCHTRUP, H.1
TORRILHON, M.2
-
41
-
-
0842290725
-
A hybrid continuum/ particle approach for modeling subsonic, rarefied gas flows
-
Q. SUN, I. D. BOYD, AND G. V. CANDLER, A hybrid continuum/ particle approach for modeling subsonic, rarefied gas flows, J. Comput. Phys., 194 (2004), pp. 256-277.
-
(2004)
J. Comput. Phys
, vol.194
, pp. 256-277
-
-
SUN, Q.1
BOYD, I.D.2
CANDLER, G.V.3
-
44
-
-
4344687139
-
Regularized 13-moment-equations: Shock structure calculations and comparison to Burnett models
-
M. TORRILHON AND H. STRUCHTRUP, Regularized 13-moment-equations: Shock structure calculations and comparison to Burnett models, J. Fluid Mech., 513 (2004), pp. 171-198.
-
(2004)
J. Fluid Mech
, vol.513
, pp. 171-198
-
-
TORRILHON, M.1
STRUCHTRUP, H.2
-
45
-
-
34548560859
-
Consistency and stability of kinetic upwinding for advection-diffusion equation
-
to appear
-
M. TORRILHON AND K. XU, Consistency and stability of kinetic upwinding for advection-diffusion equation, IMA J. Numer. Anal., to appear.
-
IMA J. Numer. Anal
-
-
TORRILHON, M.1
XU, K.2
-
46
-
-
34548558000
-
-
W. G. VINCENTI AND C. H. KRUGER, JR., Introduction to Physical Gas Dynamics, Wiley, New York, 1965.
-
W. G. VINCENTI AND C. H. KRUGER, JR., Introduction to Physical Gas Dynamics, Wiley, New York, 1965.
-
-
-
-
47
-
-
0036538675
-
Regularization of the Chapman-Enskog expansion and its description of shock structure
-
K. XU, Regularization of the Chapman-Enskog expansion and its description of shock structure, Phys. Fluids, 14 (2002), pp. L17-L20.
-
(2002)
Phys. Fluids
, vol.14
-
-
XU, K.1
-
48
-
-
85118903515
-
-
K. XU AND Z.-H. LI, Microchannel flow in the slip regime: Gas-kinetic BGK-Burnett solutions, J. Fluid Mech., 513 (2004), pp. 87-110.
-
K. XU AND Z.-H. LI, Microchannel flow in the slip regime: Gas-kinetic BGK-Burnett solutions, J. Fluid Mech., 513 (2004), pp. 87-110.
-
-
-
-
49
-
-
0027607531
-
Stabilization of the Burnett equations and applications to hypersonic flows
-
X. ZHONG, R. W. MACCORMACK, AND D. R. CHAPMAN, Stabilization of the Burnett equations and applications to hypersonic flows, AIAA J., 31 (1993), pp. 1036-1043.
-
(1993)
AIAA J
, vol.31
, pp. 1036-1043
-
-
ZHONG, X.1
MACCORMACK, R.W.2
CHAPMAN, D.R.3
|