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The numerical solution of one-dimensional thermally expandable flows. (English) Zbl 0451.76086


MSC:

76T99 Multiphase and multicomponent flows
65Z05 Applications to the sciences
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
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References:

[1] Amit, R., On the Equations of One Dimensional Thermally Expandable Flows, (Ph. D. dissertation (1978), University of Pittsburgh) · Zbl 0451.76086
[2] Courant, R.; Issacson, E.; Rees, M., On the solution of nonlinear hyperbolic differential equations by finite differences, Comm. Pure Appl. Math., 5, 243-255 (1952) · Zbl 0047.11704
[3] Courant, R.; Friedrichs, K.; Lewy, H., Uber die Partiellen Differenzengleichungen der Mathematischen Physik, Math. Ann., 7, 32-74 (1928) · JFM 54.0486.01
[4] Meyer, J., Hydrodynamic models for the treatment of reactor thermal transients, Nucl. Sci. Engrg., 10, 269-277 (1961)
[5] Porsching, T. A., A finite difference method for thermally expandable fluid transients, Nucl. Sci. Engrg., 64, 177-186 (1977)
[6] Richtmeyer, R.; Morton, K., Difference Methods for Initial Value Problems (1967), Interscience: Interscience New York
[7] Wallis, G. B., One Dimensional Two Phase Flow (1969), McGraw-Hill: McGraw-Hill New York
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