A variational method for solving a mixed boundary-value problem in the theory of irrotational flows of ideal incompressible liquids
Abstract
A variational difference method is used to solve a mixed boundary-value problem for the Laplace equation. The method involves approximation of the boundary-value problem considered by an equivalent variational problem and is used for the analysis of certain two-dimensional symmetric flows, e.g., flow past a section where part of the section contour is determined from a specified pressure distribution.
- Publication:
-
TsAGI Uchenye Zapiski
- Pub Date:
- 1981
- Bibcode:
- 1981ZaTsA..12....1B
- Keywords:
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- Boundary Value Problems;
- Incompressible Flow;
- Potential Flow;
- Variational Principles;
- Finite Difference Theory;
- Ideal Fluids;
- Laplace Equation;
- Two Dimensional Flow;
- Wing Profiles;
- Fluid Mechanics and Heat Transfer