Some finite-difference methods to solve incompressible fluid flow.
نویسندگان
چکیده
منابع مشابه
Blending Finite-Difference and Vortex Methods for Incompressible Flow Computations
We describe and illustrate numerical procedures that combine grid and particle solvers for the solution of the incompressible Navier–Stokes equations. These procedures include vortex in cell (VIC) and domain decomposition schemes. Numerical comparisons with pure finitedifference methods demonstrate the effectiveness of these techniques for various flow geometries, bounded or unbounded.
متن کاملFully Conservative Higher Order Finite Difference Schemes for Incompressible Flow
Conservation properties of the mass, momentum, and kinetic energy equations for incompressible flow are specified as analytical requirements for a proper set of discrete equations. Existing finite difference schemes in regular and staggered grid systems are checked for violations of the conservation requirements and a few important discrepancies are pointed out. In particular, it is found that ...
متن کاملConservative properties of finite difference schemes for incompressible flow
1. Motivation and objectives The purpose of this research is to construct accurate finite difference schemes for incompressible unsteady flow simulations such as LES (large-eddy simulation) or DNS (direct numerical simulation). Experience has shown that kinetic energy conservation of the convective terms is required for stable incompressible unsteady flow simulations. Arakawa (1966) showed that...
متن کاملSimulating Viscous Incompressible Fluids with Embedded Boundary Finite Difference Methods
The behaviour of liquids and gases ranks among the most familiar and yet complex physical phenomena commonly encountered in daily life. To create a seamless approximation of the real world, it is clear that we must be able to accurately simulate fluids. However, a crucial element of what makes fluid behaviour so complex and compelling is its interactions with its surroundings. To simulate the m...
متن کاملConservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow
In this paper, we propose a semi-Lagrangian finite difference formulation for approximating conservative form of advection equations with general variable coefficients. Compared with the traditional semi-Lagrangian finite difference schemes [4, 21], which approximate the advective form of the equation via direct characteristics tracing, the scheme proposed in this paper approximates the conserv...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B
سال: 1986
ISSN: 0387-5016,1884-8346
DOI: 10.1299/kikaib.52.2351