TWO STEP IMPLICIT ALGORITHM FOR SOLVING THE TIME-DEPENDENT INCOMPRESSIBLE NAVIER-STOKES AND ADVECTIVE-DIFFUSIVE EQUATIONS
نویسندگان
چکیده
منابع مشابه
Optimization with the time-dependent Navier-Stokes equations as constraints
In this paper, optimal distributed control of the time-dependent Navier-Stokes equations is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. A mixed numerical method involving a quasi-Newton algorithm, a novel calculation of the gradients and an inhomogeneous Navier-Stokes solver, to find the opt...
متن کاملTime Step Restrictions Using Semi-implicit Methods for the Incompressible Navier-stokes Equations
The incompressible Navier-Stokes equations are discretized in space and integrated in time by the method of lines and a semi-implicit method. In each time step a set of systems of linear equations has to be solved. The size of the time steps are restricted by stability and accuracy of the time-stepping scheme, and convergence of the iterative methods for the solution of the systems of equations...
متن کاملParallel Multilevel Algorithms for Solving the Incompressible Navier-stokes Equations
This paper presents results of a numerical study for unsteady three{ dimensional, incompressible ow. A nite element multigrid method is used in combination with an operator splitting technique and upwind discretization for the convective term. A nonconforming element pair, living on hexahedrons, which is of order O(h 2 =h) for velocity and pressure, is used for the spatial discretization. The s...
متن کاملHarmonic analysis tools for solving the incompressible Navier-Stokes equations
Introduction Section 1: Preliminaries 1.1 The Navier-Stokes equations 1.2 Classical, mild and weak solutions 1.3 Navier meets Fourier Section 2: Functional setting of the equations 2.1 The Littlewood-Paley decomposition 2.2 The Besov spaces 2.3 The paraproduct rule 2.4 The wavelet decomposition 2.5 Other useful function spaces Section 3: Existence theorems 3.1 The fixed point theorem 3.2 Scalin...
متن کاملAlgebraic Fractional-Step Schemes for Time-Dependent Incompressible Navier-Stokes Equations
The numerical investigation of a recent family of algebraic fractional-step methods (the so called Yosida methods) for the solution of the incompressible time-dependent Navier–Stokes equations is presented. A comparison with the Karniadakis–Israeli–Orszag method Karniadakis et al. (1991, J. Comput. Phys. 97, 414–443) is carried out. The high accuracy in time of these schemes well combines with ...
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: Doboku Gakkai Ronbunshu
سال: 1998
ISSN: 0289-7806,1882-7187
DOI: 10.2208/jscej.1998.605_129