Finite Elements for Fluidynamics, Variational Formulations and Calculations for Boundary-Initial-Value Problems.
Abstract
Quasi linear systems of partial differential equations with initial and boundary values are treated via an equivalent variational formulation. Finite elements with linear and bi-linear approximations are described and calculations done for heat transfer, wave propagation and transonic flow problems. A variational principle for three-dimensional systems with arbitrary constraints in which the victor Lagrange multiplier has a clear physical meaning is presented and applied to additional problems of transonic flow and anisotropic wave propagation. Further numerical tests and simulations are reported. Multi-dimensional hyperbolic systems are treated by a semi-analytic method yielding the location and time where shocks appear in initially smooth flows. Application to water waves, gas shocks and plasmadynamics are described in detail. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1977
- Accession Number
- ADA059201
Entities
People
- Levi Lustman
- Nima Geffen
- Sara Yaniv
Organizations
- Tel Aviv University