Calculating ThreeDimensional Fluid Flows at All Speeds with an EulerianLagrangian Computing Mesh
Abstract
A computing technique is presented for the calculation of threedimensional, timedependent fluid dynamics problems. The full nonlinear NavierStokes equations are solved with a finitedifference scheme based upon an Arbitrary LagrangianEulerian (ALE) computing mesh with vertices that may move with the fluid (Lagrangian), remain fixed (Eulerian), or move in any prescribed manner. The method is applicable to threedimensional flows at all speeds, employing an implicit formulation similar to the Implicit ContinuousFluid Eulerian (ICE) technique. Marker particles are used that may follow exactly the motion of the fluid to aid in flow visualization, or they can represent particulate matter whose behavior is affected by inertia, drag, gravity, and molecular and turbulent diffusion. Calculational examples are shown in the form of a variety of perspective view plots.
 Publication:

Journal of Computational Physics
 Pub Date:
 February 1975
 DOI:
 10.1016/00219991(75)900339
 Bibcode:
 1975JCoPh..17..132P
 Keywords:

 EulerLagrange Equation;
 Finite Difference Theory;
 NavierStokes Equation;
 Numerical Flow Visualization;
 Three Dimensional Flow;
 Differential Equations;
 Flow Equations;
 Flow Velocity;
 Molecular Diffusion;
 Particle In Cell Technique;
 Fluid Mechanics and Heat Transfer