Stokes Problem
A New Numerical Method for Solving the Stokes Problem Using Quadratic Programming
... the Stokes problem into a quadratic programming problem, and by solving it, we obtained the velocity and pressure as a linear combina- tion of independent ...
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Identification of source term for the ill posed Rayleigh–Stokes problem by Tikhonov regularization method
... Rayleigh– Stokes problem are still ...considered. Problem (1.1) is the forward problem when the source function F = F(x, t) is appropriately given whereas an inverse source problem ...
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Artificial Neural Networks Approach for Solving Stokes Problem
... the Stokes problem. We transform the mixed Stokes problem into three independent Poisson problems which by solving them the solution of the Stokes problem is ...
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A note on the stabilised Q1-P0 method on quadrilaterals with high aspect ratios
... Abstract This work deals with the stabilisation of mixed methods for the Stokes problem on anisotropic meshes. For this, we extend a method proposed previously in Liao & Silvester (2013), to cover the ...
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Finite Element Solution of a Stream Function Vorticity System and Its Application to the Navier Stokes Equations
... generalized Stokes problem in terms of the stream func- tion and the ...Such problem results for instance from the time discretization of the time-dependent Stokes ...
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Numerical solution of Stokes problem for free convection effects in dissipative dusty medium
... 2. Formulation of the problem. Here the x -axis is taken along the infinite plate in vertical direction and the y -axis is taken normal to the plate. The temperature of the plate is the same as that of the fluid ...
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Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem
... the Stokes equation by an optimal domain decomposition method derived alge- braically involves the use of non standard interface conditions whose discretisation is not triv- ...the Stokes problem ...
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Stabilized finite element methods based on multiscale enrichment for the Stokes problem
... Abstract. This work concerns the development of stabilized finite element methods for the Stokes problem considering nonstable different (or equal) order of velocity and pressure interpola- tions. The ...
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An adaptive stabilized finite element method for the generalized Stokes problem
... [20,21] and Bank and Welfert [7], laid the basic foundation for the mathe- matical analysis of practical methods (see also [11] for error estimators in the nonconforming case). More recently, in [3,2] and [12], a ...
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Preconditioners for the Steady Incompressible Navier-Stokes Problem
... The Stokes problem is solved with SIMPLE and SIM- PLER preconditioners using exact and inexact solvers for the subsystems shown in Table ...Navier-Stokes problem solved with varying Reynolds ...
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Stable finite element methods for the Stokes problem
... [10] T. J. R. Hughes and L. P. Franca, A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary con- ditions: symmetric formulations that ...
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Lattice Boltzmann simulation of nonequilibrium effects in oscillatory gas flow
... the Stokes number, Knudsen number, and tangential momentum accommodation coefficient for oscillating Couette flow and Stokes’ second ...the Stokes number, we demonstrate that increasing the Knudsen ...
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Stabilized finite element method for the stationary mixed Stokes–Darcy problem
... The Stokes–Darcy fluid flow model is a cou- pling among surface and subsurface flows, which occurs in many natural and indus- trial events such as biomedicine, industrial processes, blood flow motion in the arteries, ...
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Impact of Thermal in Stokes Second Problem for Unsteady Second Grade Fluid Flow
... Abstract- This paper tosses light on the impact of thermal in Stokes second problem for unsteady second grade liquid move through porous medium. The expressions for the temperature field and the velocity ...
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the Navier-Stokes problem and
... viscous Newtonian fluid which is the basis of hydrodynamics. Note, that many problems formally exist for any Reynolds numbers and it can have an exact solution, but not all partial differential equation can describe ...
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Application of analytic functions to the global solvabilty of the Cauchy problem for equations of Navier Stokes
... tum and energy conservation in terms of wave functions are conservation laws in the micro-world; but in the clas- sic methods of studying nonlinear equations scientists usually use the priori estimates reflecting the ...
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Logarithmic improvement of regularity criteria for the Navier Stokes equations in terms of pressure
... system (1)–(3) on one hand describes the motion of viscous Newtonian fluids, while on the other hand serve as the starting point of mathematical modeling of many other types of fluids, such as non-Newtonian fluids, ...
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The 3D Happel model for complete isotropic Stokes flow
... 4. Solution with 3D Happel-type sphere-in-cell model. The point of this section is to solve the 3D Stokes sphere-in-cell model with the Happel-type BCs (2.13)–(2.15), in view of relations (3.8) and (3.11). Since ...
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Optimal design of magnetic field for reaction control in drug delivery applications
... for Stokes flow with Dirichlet boundary conditions everywhere on the boundary ∂Ω, the problem of minimizing the total power dissipation inside the fluidic device subject to a volume constraint on the ...
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On the Singular Integral Equation Connected with the Stokes Gravity Waves
... tokes gravity wave is a periodic surface wave of per- manent form on an invisced fluid layer of constant mean depth. In this case viscosity and compression plays an insignificant role and the fluid is assumed to be ...
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