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A finite element solution algorithm for the navier-stokes equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Baker, A. J. |
| Copyright Year | 1974 |
| Description | A finite element solution algorithm is established for the two-dimensional Navier-Stokes equations governing the steady-state kinematics and thermodynamics of a variable viscosity, compressible multiple-species fluid. For an incompressible fluid, the motion may be transient as well. The primitive dependent variables are replaced by a vorticity-streamfunction description valid in domains spanned by rectangular, cylindrical and spherical coordinate systems. Use of derived variables provides a uniformly elliptic partial differential equation description for the Navier-Stokes system, and for which the finite element algorithm is established. Explicit non-linearity is accepted by the theory, since no psuedo-variational principles are employed, and there is no requirement for either computational mesh or solution domain closure regularity. Boundary condition constraints on the normal flux and tangential distribution of all computational variables, as well as velocity, are routinely piecewise enforceable on domain closure segments arbitrarily oriented with respect to a global reference frame. |
| File Size | 3387173 |
| Page Count | 78 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19740020922 |
| Archival Resource Key | ark:/13960/t0zp8sz1z |
| Language | English |
| Publisher Date | 1974-06-01 |
| Access Restriction | Open |
| Subject Keyword | Navier-stokes Equation Viscosity Finite Element Method Thermodynamics Algorithms Partial Differential Equations Kinematics Computer Programs Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
