Numerical solution of compressible flow
Numerical solution of initial value problems in plasma physics
Numerical solution of inviscid and viscous flows using modern schemes and quadrilateral or triangular mesh
Numerical solution of several models of internal transonic flow
The paper deals with numerical solution of internal flow problems. It mentions a long tradition of mathematical modeling of internal flow, especially transonic flow at our department. Several models of flow based on potential equation, Euler equations, Navier-Stokes and Reynolds averaged Navier-Stokes equations with proper closure are considered. Some mathematical and numerical properties of the model are mentioned and numerical results achieved by in-house developed methods are presented.
Numerical Solution of Steady-State Porous Flow Free Boundary Problems.
Numerical solution of Stokes problem for free convection effects in dissipative dusty medium.
Numerical solution of the Kiessl model
The Kiessl model of moisture and heat transfer in generally nonhomogeneous porous materials is analyzed. A weak formulation of the problem of propagation of the state parameters of this model, which are so-called moisture potential and temperature, is derived. An application of the method of discretization in time leads to a system of boundary-value problems for coupled pairs of nonlinear second order ODE’s. Some existence and regularity results for these problems are proved and an efficient numerical...
Numerical solution of the pressing devices shape optimization problem in the glass industry
In this contribution, we present the problem of shape optimization of the plunger cooling which comes from the forming process in the glass industry. We look for a shape of the inner surface of the insulation barrier located in the plunger cavity so as to achieve a constant predetermined temperature on the outward surface of the plunger. A rotationally symmetric system, composed of the mould, the glass piece, the plunger, the insulation barrier and the plunger cavity, is considered. The state problem...
Numerical Solution of the Transonic Equation by the Finite Element Method via Optimal Control
Numerical solutions of cascade flows by finite element method [Abstract of thesis]
Numerical solutions of the Navier-Stokes equations using wavelet-like incremental unknowns
Numerical studies of groundwater flow problems with a singularity
The paper studies mesh dependent numerical solution of groundwater problems with singularities, caused by boreholes represented as points, instead of a real radius. We show on examples, that the numerical solution of the borehole pumping problem with point source (singularity) can be related to the exact solution of a regular problem with adapted geometry of a finite borehole radius. The radius providing the fit is roughly proportional to the mesh step. Next we define a problem of fracture-rock...
Numerical studies of vertically propagating acoustic and magneto-acoustic waves in an isothermal atmosphere.
Numerical studies of viscous incompressible flow between two rotating concentric spheres.
Numerical study of a descending sphere in a low Reynolds number strongly stratified fluid.
Numerical study of a discrete projection method for rotating incompressible flows.
Numerical study of flame propagation in boundary layers.
Numerical study of free interface problems using boundary integral methods.
Numerical study of normal pressure distribution in entrance flow between parallel plates. I. Finite difference calculations.
Numerical study of the Davey-Stewartson system
We deal with numerical analysis and simulations of the Davey-Stewartson equations which model, for example, the evolution of water surface waves. This time dependent PDE system is particularly interesting as a generalization of the 1-d integrable NLS to 2 space dimensions. We use a time splitting spectral method where we give a convergence analysis for the semi-discrete version of the scheme. Numerical results are presented for various blow-up phenomena of the equation, including blowup of defocusing,...