Orenga, Analysis of a nonlinear fluid-structure interaction problem in velocity- displacement formulation. Nonlinear Anal., 35 (1999), no.5, pp.561-587.F. Flori and P. Orenga (1999), Analysis of a nonlinear fluid-structure interaction problem in velocity-displacement formulation. Nonlinear Anal....
V. Guvernyuk, ‘‘On formulation of problems of incompressible flows over permeable bodies,’’ Fluid Mech. Sov. Res. 17 (2), 46–71 (1988). MATH Google Scholar V. A. Buchin, ‘‘Solution of the problem of the flow around a permeable plate with separation of jets,’’ Dokl. ...
The biharmonic equation formulation of the Stokes flow problem for multiquadrics method is developed. The main advantage of the approach is the iteration free method to find the solution. The numerical method is applied for the problem of steady incompressible fluid flow past a cylinder in the per...
2.1. Mathematical Formulation Consider two superposed layers of two incompressible, viscous fluids over a flat plate that coincides with the x-z plane of the Cartesian co-ordinate system . The y-axis is the coordinate normal to the plate. Both of the two fluids that form the layers are Newto...
The compressible or pseudo-compressible flow dynamic based on hyperbolic equations in their conservative form is represented by the velocity of the fluid u and the velocity of the pressure waves a. The resolution of this type of dynamic lays on the Riemann problem formulation (LeVeque, 1992; Toro...
Velocity Formulation : Absolute Time : Steady MODEL: Laminar MATERIAL: Water<Liquid> BOUNDARY CONDITION: INLET- velocity magnitude = 1 m/s gauge pressure = 100000 Pa OUTLET - gauge pressure = 100100 Pa **Rest are walls with default setting. ...
2. Problem Formulation and Approximation on a Fine Grid Let Ω⊂ℝ𝑑 be the domain for the matrix and 𝛾⊂ℝ𝑑−1 be the domain for the fracture network, where d denotes a geometrical dimension of the problem and 𝑑=2 for a two-dimensional case. The mathematical model is ...
A least-squares method based on the first-order velocity-pressure-vorticity formulation for the Stokes problem is proposed. This method leads to a minimization problem rather than to a saddle-point problem. The choice of the combinations of elements is thus not subject to the Ladyzhenskaya-Babusk...
Buchert, T.: On average properties of inhomogeneous fluids in general relativity: perfect fluid cosmologies. Gen. Relativ. Gravit. 33, 1381 (2001). arXiv:gr-qc/0102049 Article ADS MathSciNet MATH Google Scholar Buchert, T.: Dark Energy from structure: a status report. Gen. Relativ. Gravit...
A new mixed integer linear programming model was proposed based on arc-time-indexed formulation. The authors also proposed a heuristic selection hyper-heuristic algorithm, which is guided by a learning mechanism resulting in a clever choice of moves in the space of heuristics. They have conducted ...