NESC0900 SALE2D.
SALE-2D, 2-D Fluid Flow, Navier Stokes Equation Using Lagrangian or Eulerian Method
NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROBLEM OR FUNCTION, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, UNUSUAL FEATURES OF THE PROGRAM, RELATED AND AUXILIARY PROGRAMS, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED, OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHOR, MATERIAL, CATEGORIES
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3. DESCRIPTION OF PROBLEM OR FUNCTION
SALE2D calculates two- dimensional fluid flows at all speeds, from the imcompressible limit to highly supersonic. An implicit treatment of the pressure calculation similar to that in the Implicit Continuous-fluid Eulerian (ICE) technique provides this flow speed flexibility. In addition, the computing mesh may move with the fluid in a typical Lagrangian fashion, be held fixed in an Eulerian manner, or move in some arbitrarily specified way to provide a continuous rezoning capability. This latitude results from use of an Arbitrary Lagrangian-Eulerian (ALE) treatment of the mesh. The partial differential equations solved are the Navier-Stokes equations and the mass and internal energy equations. The fluid pressure is determined from an equation of state and supplemented with an artificial viscous pressure for the computation of shock waves. The computing mesh consists of a two-dimensional network of quadrilateral cells for either cylindrical or Cartesian coordinates, and a variety of user-selectable boundary conditions are provided in the program.
This package is distributed by:
Energy Science and Technology Software Center
P.O. Box 62
1 Science.Gov Way
Oak Ridge, TN 37831
(865) 576-2606 TEL
(865) 576-6436 FAX
E-mail: ESTSC@osti.gov
SALE2D calculates two- dimensional fluid flows at all speeds, from the imcompressible limit to highly supersonic. An implicit treatment of the pressure calculation similar to that in the Implicit Continuous-fluid Eulerian (ICE) technique provides this flow speed flexibility. In addition, the computing mesh may move with the fluid in a typical Lagrangian fashion, be held fixed in an Eulerian manner, or move in some arbitrarily specified way to provide a continuous rezoning capability. This latitude results from use of an Arbitrary Lagrangian-Eulerian (ALE) treatment of the mesh. The partial differential equations solved are the Navier-Stokes equations and the mass and internal energy equations. The fluid pressure is determined from an equation of state and supplemented with an artificial viscous pressure for the computation of shock waves. The computing mesh consists of a two-dimensional network of quadrilateral cells for either cylindrical or Cartesian coordinates, and a variety of user-selectable boundary conditions are provided in the program.
This package is distributed by:
Energy Science and Technology Software Center
P.O. Box 62
1 Science.Gov Way
Oak Ridge, TN 37831
(865) 576-2606 TEL
(865) 576-6436 FAX
E-mail: ESTSC@osti.gov
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4. METHOD OF SOLUTION
The basic hydrodynamic part of each cycle of SALE is divided into three phases. Phase 1 is a typical explicit Lagragian calculation in which the velocity field is updated by the effects of all forces. Phase 2 is a Newton-Raphson iteration that provides time-advanced pressures and velocities. It is used for calculations in the low-speed and even completely incompressible regimes. Phase 3 performs all the advective flux calculations. It is required for runs that are Eulerian or contain some other form of mesh rezoning. A powerful feature of SALE is the ease with which different phases can be combined to suit the requirements of individual problems.
The basic hydrodynamic part of each cycle of SALE is divided into three phases. Phase 1 is a typical explicit Lagragian calculation in which the velocity field is updated by the effects of all forces. Phase 2 is a Newton-Raphson iteration that provides time-advanced pressures and velocities. It is used for calculations in the low-speed and even completely incompressible regimes. Phase 3 performs all the advective flux calculations. It is required for runs that are Eulerian or contain some other form of mesh rezoning. A powerful feature of SALE is the ease with which different phases can be combined to suit the requirements of individual problems.
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10. REFERENCES
- Francis H. Harlow and Anthony A. Amsden,
A Numerical Fluid Dynamics Calculation Method for All Flow Speeds, Journal of Computational Physics, Vol. 8, pp. 197-213, 1971.
- A.A. Amsden and C.W. Hirt,
A Simple Scheme of Generating General Curvilinear Grids,
Journal of Computational Physics, Vol. 11, pp. 348-359, 1973.
- C.W. Hirt, A.A. Amsden, and J.L. Cook,
An Arbitrary Lagrangian-Eulerian Computing Method for All Flow
Speeds,
Journal of Computational Physics, Vol. 14, pp. 227-253, 1974.
- Anthony A. Amsden and Cyril W. Hirt,
YAQUI: An Arbitrary Lagrangian-eulerian Computer Program for Fluid Flow at All Speeds,
LA-5100, March 1973.
- Francis H. Harlow and Anthony A. Amsden,
A Numerical Fluid Dynamics Calculation Method for All Flow Speeds, Journal of Computational Physics, Vol. 8, pp. 197-213, 1971.
- A.A. Amsden and C.W. Hirt,
A Simple Scheme of Generating General Curvilinear Grids,
Journal of Computational Physics, Vol. 11, pp. 348-359, 1973.
- C.W. Hirt, A.A. Amsden, and J.L. Cook,
An Arbitrary Lagrangian-Eulerian Computing Method for All Flow
Speeds,
Journal of Computational Physics, Vol. 14, pp. 227-253, 1974.
- Anthony A. Amsden and Cyril W. Hirt,
YAQUI: An Arbitrary Lagrangian-eulerian Computer Program for Fluid Flow at All Speeds,
LA-5100, March 1973.
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS
The FORTRAN source is given in two forms on the transmittal tape. The first form is as a FORTRAN deck. The second is in CDC UPDATE form containing *DECK and *COMDECK records for use with the CDC UPDATE utility to facilitate the code changes required for different problems. SALE calls a number of LANL computing environment subroutines not supplied with the package. NESC has supplied dummy subroutines for the missing subroutines which provide the time, date, graphic film output, and other system services. Similar routines, appropriate for the local computing environment, will be required if these features are desired. These system subroutines are described in the SALE report.
The FORTRAN source is given in two forms on the transmittal tape. The first form is as a FORTRAN deck. The second is in CDC UPDATE form containing *DECK and *COMDECK records for use with the CDC UPDATE utility to facilitate the code changes required for different problems. SALE calls a number of LANL computing environment subroutines not supplied with the package. NESC has supplied dummy subroutines for the missing subroutines which provide the time, date, graphic film output, and other system services. Similar routines, appropriate for the local computing environment, will be required if these features are desired. These system subroutines are described in the SALE report.
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Keywords: Navier-Stokes equation, fluid flow, fluid mechanics, ice method, pressure, two-dimensional, velocity, viscosity.