Positive Newtonian Capacity and Stationary Viscous Incompressible Flow
نویسندگان
چکیده
منابع مشابه
Incompressible laminar flow - newtonian and non-newtonian fluids
The problems of incompressible flows dominate a large part of the fluid mechanics scene. For this reason, they are given special attention in this book and we devote two chapters to this subject. In the present chapter we deal with various steadystate and transient situations in which the flow is forced by appropriate pressure gradients and boundary forces. In the next chapter we shall consider...
متن کاملOn preconditioning incompressible non-Newtonian flow problems
This paper concerns preconditioned iterative solution methods for solving incompressible non-Newtonian Navier-Stokes equations as arising in regularized Bingham models. Stable finite element discretization applied to the linearized equations results in linear systems of saddle point form. In order to circumvent the difficulties of efficiently and cheaply preconditioning the Schur complement of ...
متن کاملLeast-Squares Methods for Incompressible Newtonian Fluid Flow: Linear Stationary Problems
This paper develops and analyzes two least-squares methods for the numerical solution of linear, stationary incompressible Newtonian fluid flow in two and three dimensions. Both approaches use the L norm to define least-squares functionals. One is based on the stress-velocity formulation (see section 3.2), and it applies to general boundary conditions. The other is based on an equivalent formul...
متن کاملNumerical Methods for Incompressible Viscous Flow
We present an overview of the most common numerical solution strategies for the incompressible Navier–Stokes equations, including fully implicit formulations, artificial compressibility methods, penalty formulations, and operator splitting methods (pressure/velocity correction, projection methods). A unified framework that explains popular operator splitting methods as special cases of a fully ...
متن کاملStable and accurate pressure approximation for unsteady incompressible viscous flow
How to properly specify boundary conditions for pressure is a longstanding problem for the incompressible Navier–Stokes equations with no-slip boundary conditions. An analytical resolution of this issue stems from a recently developed formula for the pressure in terms of the commutator of the Laplacian and Leray projection operators. Here we make use of this formula to (a) improve the accuracy ...
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: Indiana University Mathematics Journal
سال: 1974
ISSN: 0022-2518
DOI: 10.1512/iumj.1975.24.24001