Numerical Simulation of Laminar, Incompressible Flow within Liquid Filled Shells
Abstract
A numerical simulation capability has been developed for the analysis of fluid flow in liquid-filled projectiles. The unsteady, compressible Navier- Stokes equations for laminar flow are solved for the primitive variables without recourse to linearization or simplification of the equations of motion. The finite difference approximations to the governing equations are by choice either of first or second order time accuracy, second order spatial accuracy in the axial and radial directions, and fourth order spatial accuracy in the azimuthal direction. The method allows imposition of arbitrary body motions including spin and precission and the corresponding boundary conditions are easily and directly prescribed. The finite difference equations are solved using an implicit, approximate factorization procedure that permits the choice of reasonably large time steps and avoids limitations based on the magnitude of Reynolds number. Thus, the numerical simulations methodology considered provides a complete, accurate and flexible framework for the computational analysis of fluid behavior in liquid-filled projectiles. In the current effort, two computer programs have been developed. The cartesian velocity components and pressure are the dependent variables in the first along with a cartesian base coordinate system. This code retains the desired features of arbitrary geometry and body motion. The second computer program is cast with cylindrical velocity components in cylindrical coordinates and is currently (but not inherently) limited to a cylindrical geometry. Both these programs are applicable to three-dimensional flow and both codes can be flagged to compute axisymmetric flow efficiently by avoiding calculations involving the extra coordinate.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1982
- Accession Number
- ADA121703
Entities
People
- Sukumar R. Chakravarthy