TECHNICAL PAPERS—SPECIAL ICE SECTION: Intake and Exhaust System Dynamics

Comparison of Algorithms for Unsteady Flow Calculations in Inlet and Exhaust Systems of IC Engines

[+] Author and Article Information
M. Vandevoorde

Atlas Copco Airpower, Industrial Air Division, Wilrijk, Belgium

J. Vierendeels, R. Sierens, E. Dick

Department of Flow, Heat and Combustion Mechanics, Ghent University, Belgium

R. Baert

TNO Road-Vehicles Research Institute, Delft, The Netherlands

J. Eng. Gas Turbines Power 122(4), 541-548 (Apr 17, 2000) (8 pages) doi:10.1115/1.1288771 History: Received April 07, 2000; Revised April 17, 2000
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.


Watson, N., and Janota, M. R., 1971, “Non-Steady Flow in an Exhaust System With a Pulse Converter Junction,” IMechE Conf. Internal Flows, Salford, pp. D17–D28.
Benson, R. S., 1982, The Thermodynamics and Gas Dynamics of Internal Combustion Engines, J. H. Horlock and D. E. Winterbone, eds., Clarendon Press.
Blair, G. P., and Gouldburn, J. R., 1967, “The Pressure Time History in the Exhaust System of a High-Speed Reciprocating Internal Combustion Engine,” SAE Paper 670477.
Lax,  P. D., and Wendroff,  B., 1960, “Systems of Conservation Laws,” Commun. Pure Appl. Math., 13, pp. 217–237.
Richtmyer, R. D., and Morton, K. W., 1967, Difference Methods for Initial Value Problems, Wiley, New York.
Seifert, H., 1960, “Die Analyze instationärer Strömungsvorgänge in Ansaugleitungen an Mehrzylinder-Verbrennungsmotoren,” FISITA, Tokyo.
Seifert, H., 1978, “Erfahrungen mit einem mathematischen Modell zur Simulation von Arbeitsverfahren in Verbrennungsmoteren,” MTZ, 39 , (7/8 and 12) Tokyo.
Bulaty,  T., and Niessner,  H., 1985, “Calculation of 1-D Unsteady Flows in Pipe Systems of I.C. Engines,” J. Fluids Eng., 107, pp. 407–412.
Pearson, R. J., 1994, “Numerical Methods for Simulating Gas Dynamics in Engine Manifolds,” Ph.D. thesis, Department of Mechanical Engineering, UMIST.
Kirkpatrick, S. J., Blair, G. P., Fleck, R., and McMullan, R. K., 1994, “Experimental Evaluation of 1-D Computer Codes for the Simulation of Unsteady Gas Flow Through Engines—A First Phase,” Queen’s University of Belfast, SAE Paper 941685.
Zhao, Y., and Winterbone, D. E., 1991, “Numerical Simulation of Multi-Dimensional Flow and Pressure Dynamics in Engine Intake Manifolds,” IMechE Paper C430/039.
Flamang, P., and Sierens, R., 1989, “Experimental and Theoretical Analysis of the Flow in Exhaust Pipe Junctions,” IMechE Paper C382/082.
Sod,  G. A., 1978, “A Survey of Several Finite Difference Methods for Systems of Nonlinear Hyperbolic Conservation Laws,” J. Comput. Phys., 27, pp. 1–31.
Van Hove,  W., and Sierens,  R., 1991, “Calculation of the Unsteady Flow in Exhaust Pipe Systems: New Algorithm to Fulfill the Conservation Law in Pipes With Gradual Area Changes,” Proc. Inst. Mech. Eng., 205, Part D, pp. 245–250.
Jenny,  E., 1950, “Unidimensional Transient Flows With Consideration of Friction and Change of Section,” Brown Boveri Rev., 37, No. 11, pp. 447–461.
Ni,  R. H., 1982, “A Multiple Grid Scheme for Solving the Euler Equations,” AIAA J., 20, pp. 1565–1571.
MacCormack, R. W., 1969, “The Effect of Viscosity in Hypervelocity Impact Cratering,” AIAA Paper 69-354.
Book,  D. L., Boris,  J. P., and Hain,  K., 1975, “Flux Corrected Transport II: Generalizations of the Method,” J. Comput. Phys., 18, pp. 248–283.
Boris,  J. P., and Book,  D. L., 1976, “Flux-Corrected Transport III: Minimal-Error FCT Algorithms,” J. Comput. Phys., 16, pp. 85–129.
Roe,  P. L., 1981, “Approximate Riemann Solvers, Parameters Vectors and Difference Schemes,” J. Comput. Phys., 43, pp. 357–372.
Dick,  E., 1988, “A Flux Difference Splitting Method for the Steady Euler Equations,” J. Comput. Phys., 76, pp. 19–32.
Dick,  E., 1990, “Multigrid Formulation of Polynomial Flux-Difference Splitting for Steady Euler Equations,” J. Comput. Phys., 91, pp. 161–173.
Harten,  A., 1983, “High Resolution Schemes for Hyperbolic Conservation Laws,” J. Comput. Phys., 49, pp. 357–393.
Chakravarty, S. R., and Osher, S., 1985, “A New Class of High Accuracy TVD Schemes for Hyperbolic Conservation Laws,” AIAA Paper 85-0363.
Harten,  A., and Osher,  S., 1987, “Uniformly High-Order Accurate Nonoscillatory Schemes I,” SIAM J. Numer. Analy., 24, pp. 279–309.
Vandevoorde,  M., Vierendeels,  J., Dick,  E., and Sierens,  R., 1998, “A New Total Variation Diminishing Scheme for the Calculation of One-Dimensional Flow in Inlet and Exhaust Pipes of Internal Combustion Engines,” Proc. Inst. Mech. Eng., 212, Part D. pp. 437–448.


Grahic Jump Location
The shock-tube test case
Grahic Jump Location
Location of the control volumes
Grahic Jump Location
Velocity and velocity of sound as a function of the location in the pipe (test case 1)
Grahic Jump Location
Velocity and velocity of sound as a function of the location in the pipe (test case 1)
Grahic Jump Location
Computer time relative to the MOC (test case 1)
Grahic Jump Location
Errors on the velocity and velocity of sound calculations (relative to the MOC, test case 1)
Grahic Jump Location
Mass flow in the mesh points of the pipe (test case 2)
Grahic Jump Location
Mass flow in the mesh points of the pipe (test case 2)
Grahic Jump Location
Error on the calculated mass flow (test case 2)
Grahic Jump Location
Computer time related to the MOC (test case 2)




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In