Stable integrators for fluid dynamics simulation

References

• Richtmeyer , R.D. and Morton , K.W. 1967 . Difference Methods for Initial-Value Problems , New York : Interscience . 2nd edition
   Google Scholar
• Ames , W.F. 1977 . Numerical Methods for Partial Differential Equations , New York : Academic Press .
   Google Scholar
• Harlow , F.H. and Welch , J.E. 1965 . Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface . Phys. Fluids , 8 : 2182
   Web of Science ®Google Scholar
• Harlow , F.H. and Amsden , A.A. 1971 . A numerical fluid dynamics calculation method for all flow speeds . J, Computational Physics , 8 : 197
   Web of Science ®Google Scholar
• Rivard , W.C. and Torrey , M.D. 1977 . K-FIX: a computer program for transient, two-dimensional, two-fluid flow , Los Alamos Scientific Laboratory . LA-NUREG-6623
   Google Scholar
• Aguilar , F. , Tuttle , P.G. , Phillips , R.E. and Refling , J.G. 1978 . Multi-dimensional wave propogation with FLASH-genre codes . proceedings of American Nuclear Society . June 20 1978 .
   Google Scholar
• Crank , J. and Nicolson , P. 1947 . A practical method for numerical evaluation of solutions of partial differential equations of heat conduction type . Proc. Camb. phil. Soc , 32 : 50
   Google Scholar
• Gear , C.W. 1971 . Numerical Initial Value Problems in Ordinary Differential Equations , Englewood Cliffs, NJ : Prentice-Hall .
   Google Scholar
• Hyman , J.M. 1979 . “ A method of lines approach to the numerical solution of conservation laws ” . In Advances in Computer Methods for Partial Differential Equations, III , Edited by: Vichnevetsky , R. and Stepleman , R.S. IMACS .
   Google Scholar
• Gear , C.W. 1971 . Algorithm 407, DIFSUB for solution of ordinary differential equations . Comm. ACM , 14 : 185 – 185 .
   Web of Science ®Google Scholar