A primary focus of the system dynamics literature is the development of structured modeling methods, suitable for application to a diverse array of engineering problems. An important obstacle in the development of unified modeling methods is the need to employ Eulerian reference frames in many thermofluid systems applications. An extension of Lagrange’s equations, to compressible thermofluid dynamics in Eulerian frames, offers a general modeling methodology for thermofluid systems compatible with discrete energy methods widely used for mechanical systems simulations.
Issue Section:
Research Papers
1.
Anderson
, J. D.
, Jr., 1995, Computational Fluid Dynamics
, McGraw-Hill
, New York
.2.
Laney
, C. B.
, 1998, Computational Gasdynamics
, Cambridge University Press
, New York
.3.
Carey
, G. F.
, and Oden
, J. T.
, 1986, Finite Elements, Fluid Mechanics
: Prentice-Hall
, Englewood Cliffs, NJ
.4.
McGlaun
, J. M.
, Thompson
, S. L.
, and Elrick
, M. G.
, 1990, “CTH: A. Three Dimensional Shock Wave Physics Code
,” Int. J. Impact Eng.
0734-743X, 10
, pp. 351
–360
.5.
Wallin
, B. K.
, Tong
, C.
, Nichols
, A. L.
, and Chow
, E. T.
, 2001, “Large Multiphysics Simulations in ALE3D
,” presented at the Tenth SIAM Conference on Parallel Processing for Scientific Computing
, Portsmouth, VA
, Mar. 12–14.6.
Greenwood
, D. T.
, 1988, Principles of Dynamics
, Prentice-Hall
, Englewood Cliffs, NJ
.7.
Meirovitch
, L.
, 1986, Elements of Vibration Analysis
, McGraw-Hill
, New York
.8.
Shearer
, J. L.
, Kulakowski
, B. T.
, and Gardner
, J. F.
, 1997, Dynamic Modeling and Control of Engineering Systems
, Prentice-Hall
, Englewood Cliffs, NJ
.9.
Fahrenthold
, E. P.
, and Venkataraman
, M.
, 1996, “Eulerican Bond Graphs for Fluid Continuum Dynamics Modeling
,” ASME J. Dyn. Syst., Meas., Control
0022-0434, 118
, pp. 48
–57
.10.
O’Reilly
, O. M.
, and Srinivasa
, A. R.
, 2001, “On a Decomposition of Generalized Constraint Forces
,” Proc. R. Soc. London, Ser. A
1364-5021, 457
, pp. 1307
–1313
.11.
Kalaba
, R.
, Natsuyama
, H.
, and Udwadia
, F.
, 2004, “An Extension of Gauss’s Principal of Least Constraint
,” Int. J. Gen. Syst.
, 33
, pp. 63
–69
.12.
Fahrenthold
, E. P.
, and Koo
, J. C.
, 1999, “Discrete Hamilton’s Equations for Viscous Compressible Fluid Dynamics
,” Comput. Methods Appl. Mech. Eng.
0045-7825, 178
, pp. 1
–22
.13.
Koo
, J. C.
, and Fahrenthold
, E. P.
, 2000, “Discrete Hamilton’s Equations for Arbitrary Lagrangian-Eulerian Dynamics of Viscous Compressible Flow
,” Comput. Methods Appl. Mech. Eng.
0045-7825, 189
, pp. 875
–900
.14.
Ginsberg
, J. H.
, 1988, Advanced Engineering Dynamics
, Harper and Row
, New York
.15.
Steinberg
, D. J.
, 1996, Lawrence Livermore National Laboratory, Report No. UCRL-MA-106439.16.
Neimark
, J. I.
, and Fufaev
, N. A.
, 1972, Dynamics of Nonholonomic Systems
, American Mathematical Society
, Providence, RI
.17.
Yourgrau
, W.
, and Mandelstam
, S.
, 1955, Variational Principles in Dynamics and Quantum Theory
, Pitman
, New York
.18.
Kane
, T. R.
, and Levinson
, D. A.
, 1985, Dynamics: Theory and Applications
, McGraw-Hill
, New York
.19.
Baruh
, H.
, 1999, Analytical Dynamics
, McGraw-Hill
, New York
.20.
Brown
, F.
, 1981, “Energy-Based Modeling and Quasi Coordinates
,” ASME J. Dyn. Syst., Meas., Control
0022-0434, 103
, pp. 5
–13
.21.
Karnopp
, D. C.
, Margolis
, D. L.
, and Rosenberg
, R. C.
, 1990, System Dynamics
, Wiley
, New York
.22.
Brown
, F. T.
, 2001, Engineering System Dynamics
, Dekker
, New York
.23.
Brown
, F. T.
, 1991, “Convection Bonds and Bond Graphs
,” J. Franklin Inst.
0016-0032, 328
, pp. 871
–886
.24.
Breedveld
, P. C.
, Rosenberg
, R. C.
, and Zhou
, T.
, 1991, “Bibliography of Bond Graph Theory and Application
,” J. Franklin Inst.
0016-0032, 328
, pp. 1067
–1109
.25.
Zienkiewicz
, O. C.
, and Taylor
, R. L.
, 1989, The Finite Element Method
, McGraw-Hill
, New York
.26.
Eckert
, E. R. G.
, and Drake
, R. M.
, Jr., 1972, Analysis of Heat and Mass Transfer
, McGraw-Hill
, New York
.27.
Holman
, J. P.
, 1969, Thermodynamics
, McGraw-Hill
, New York
.28.
Noh
, W. F.
, 1978, “Errors for Calculation of Strong Shocks Using an Artificial Viscosity and an Artificial Heat Flux
,” J. Comput. Phys.
0021-9991, 72
, pp. 78
–120
.29.
Lu
, Y. Y.
, Belytschko
, T.
, and Tabbara
, M.
, 1995, “Element-Free Galerkin Method for Wave Propagation and Dynamic Fracture
,” Comput. Methods Appl. Mech. Eng.
0045-7825, 126
, pp. 131
–153
.30.
Emanuel
, G.
, 1986, Gasdynamics, Theory and Applications
, AIAA Education Series
, New York
.31.
Kolsky
, H.
, 1963, Stress Waves In Solids
, Dover
, New York
.32.
Ghidaoui
, M. S.
, Ming Zhao
, M.
, and McInnis
, D. A.
, 2005, “A. Review of Water Hammer Theory and Practice
,” Appl. Mech. Rev.
0003-6900, 58
, pp. 49
–76
.33.
Pirozzoli
, S.
, 2007, “Performance Analysis and Optimization of Finite-Difference Schemes for Wave Propagation Problems
,” J. Comput. Phys.
0021-9991, 222
, pp. 809
–831
.34.
Lukacova-Medvidova
, M.
, Saibertova
, J.
, and Warnecke
, G.
, 2002, “Finite Volume Evolution Galerkin Methods for Nonlinear Hyperbolic Systems
,” J. Comput. Phys.
0021-9991, 183
, pp. 533
–562
.35.
Hu
, F.
, Hussaini
, M. Y.
, and Rasetarineray
, P.
, 1999, “An Analysis of the Discontinuous Galerkin Method for Wave Propagation Problems
,” J. Comput. Phys.
0021-9991, 151
, pp. 921
–946
.36.
Sigalotti
, L.
, Lopez
, H.
, Donoso
, A.
, Sira
, E.
, and Klapp
, J.
, 2002, “A Shock-Capturing SPH Scheme Based on Adaptive Kernel Estimation
,” J. Comput. Phys.
0021-9991, 212
, pp. 124
–149
.Copyright © 2008
by American Society of Mechanical Engineers
You do not currently have access to this content.