Analytic solutions of hydrodynamics equations
| Autor: | S.V. Coggeshall |
|---|---|
| Rok vydání: | 1991 |
| Předmět: |
Stochastic partial differential equation
Physics Examples of differential equations Classical mechanics Simultaneous equations Collocation method General Engineering Applied mathematics Exponential integrator Differential algebraic equation Separable partial differential equation Numerical partial differential equations |
| Zdroj: | Physics of Fluids A: Fluid Dynamics. 3:757-769 |
| ISSN: | 0899-8213 |
| DOI: | 10.1063/1.858008 |
| Popis: | Many similarity solutions have been found for the equations of one‐dimensional (1‐D) hydrodynamics. These special combinations of variables allow the partial differential equations to be reduced to ordinary differential equations, which must then be solved to determine the physical solutions. Usually, these reduced ordinary differential equations are solved numerically. In some cases it is possible to solve these reduced equations analytically to obtain explicit solutions. In this work a collection of analytic solutions of the 1‐D hydrodynamics equations is presented. These can be used for a variety of purposes, including (i) numerical benchmark problems, (ii) as a basis for analytic models, and (iii) to provide insight into more complicated solutions. |
| Databáze: | OpenAIRE |
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