scholarly journals Fluid Flow Simulations Based on an Equation-Solving Solution Gradient Strategy

2013 ◽  
Vol 2013 ◽  
pp. 1-19 ◽  
Author(s):  
Ho-Shuenn Huang ◽  
Yao-Hsin Hwang
Keyword(s):  
Fluid Flow ◽  
Control Volume ◽  
Test Problems ◽  
One Dimensional ◽  
Flow Simulations ◽  
Flow Problems ◽  
Equation Solving ◽  
Resolution Scheme ◽  
The Common ◽  
Solution Gradient

A compact and accurate discretization for fluid flow simulations is introduced in this paper. Contrary to the common wisdom in a convectional scheme, the solution gradient required for a high-resolution scheme is provided by solving its corresponding difference equation rather than by interpolation from solution values at neighboring computational nodes. To achieve this goal, a supplementary equation and its associated control volume are proposed to retain a compact and accurate discretization. Scheme essentials are exposed by numerical analyses on simple one-dimensional modeled problems to reveal its formal accuracy. Several test problems are solved to illustrate the feasibility of present formulation. From the obtained numerical results, it is evident that the proposed scheme will be a useful tool to simulate fluid flow problems in arbitrary domains.

scholarly journals Modeling Dynamical Geometry with Lattice-Gas Automata

1998 ◽  
Vol 09 (08) ◽  
pp. 1597-1605 ◽  
Author(s):  
Brosl Hasslacher ◽  
David A. Meyer
Keyword(s):  
Fluid Flow ◽  
Self Assembly ◽  
Lattice Gas ◽  
Particle Flow ◽  
Nonequilibrium Dynamics ◽  
Flexible Membrane ◽  
One Dimensional ◽  
Lattice Gas Automata ◽  
Flow Problems ◽  
Lattice Gas Models

Conventional lattice-gas automata consist of particles moving discretely on a fixed lattice. While such models have been quite successful for a variety of fluid flow problems, there are other systems, e.g., flow in a flexible membrane or chemical self-assembly, in which the geometry is dynamical and coupled to the particle flow. Systems of this type seem to call for lattice gas models with dynamical geometry. We construct such a model on one-dimensional (periodic) lattices and describe some simulations illustrating its nonequilibrium dynamics.

Computational Analysis of Spin-Up From Rest of a Stably-Stratified Fluid in a Cylinder

1992 ◽  
Author(s):  
Daniel T. Valentine
Keyword(s):  
Finite Difference ◽  
Test Problem ◽  
Computational Analysis ◽  
Control Volume ◽  
Stratified Fluid ◽  
New Method ◽  
Test Problems ◽  
Two Dimensional ◽  
Density Structure ◽  
Flow Problems

Abstract This paper presents applications of a control-volume finite-difference method to flow problems in cylindrical geometries. The method is an extension of the method known as ETUDE, which is an Euler-explicit in time, transportive-upwind convection, second-order diffusion, finite-difference estimate. The primary purpose of this paper is to present an interesting new method that comes about from control-volume considerations, i.e., from a proper extension of ETUDE, to solve problems in cylindrical coordinates. One- and two-dimensional test problems are computed to illustrate the properties of this new method. The predicted results of the two-dimensional test problem are compared with similar calculations of the spin-up of homogeneous fluids reported in the literature. With the properties of the method established, it was applied to investigate the spin-up of a two-layered, stably stratified fluid initially at rest in a cylindrical container. The effect of the stable, density structure on spin-up is discussed.

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