Numerical Analysis of Cavitational Flow-Theory.
Numerical computations for solidification problems with change of volume
On a certain nonlinear equation
On a hybrid finite-volume-particle method
We present a hybrid finite-volume-particle numerical method for computing the transport of a passive pollutant by a flow. The flow is modeled by the one- and two-dimensional Saint-Venant system of shallow water equations and the pollutant propagation is described by a transport equation. This paper is an extension of our previous work [Chertock, Kurganov and Petrova, J. Sci. Comput. (to appear)], where the one-dimensional finite-volume-particle method has been proposed. The core idea behind the...
On a hybrid finite-volume-particle method
We present a hybrid finite-volume-particle numerical method for computing the transport of a passive pollutant by a flow. The flow is modeled by the one- and two-dimensional Saint-Venant system of shallow water equations and the pollutant propagation is described by a transport equation. This paper is an extension of our previous work [Chertock, Kurganov and Petrova, J. Sci. Comput. (to appear)], where the one-dimensional finite-volume-particle method has been proposed. The core idea behind the...
On the inversion of the camber line problem.
On the Numerical Resolution of the Generalized Airfoil Equation with Possio Kernel.
On unsteady two-phase fluid flow due to eccentric rotation of a disk.
Procédé pour la solution du problème d'écoulement à travers la grille du profil.
Procede Pour La Solution Du Probleme Direct D'Ecoulement A Travers La Grille Du Profil
Réduction de la résolution d'un problème de réseau maillé
Some methodical remarks concerning the flow around arbitrary profiles
Two well known definitions of the flow of a plane vector field around the boundary of a region are compared. The definition (appropriately arranged) based on the constantness of the stream function on every profile is not only invariant under conformal mappings but more general than the definition based on the vanishing of the normal component of the field on .
Some Remarks on the Homogenization of the Dam Problem.
Some results regarding the ultrasonic cavitation.
Stream Vectors in Three Dimensional Aerodynamics.
The dual integral equation method in hydromechanical systems.
The hodograph method for convex profiles
The nappe profile of a free overfall
The phenomenon of the free overfall at the sharp drop of a channel bed has been deeply investigated experimentally since the pioneering work of Rouse (1933). Its behaviour is well known at least in the usual case of a wide rectangular channel. However, no complete theoretical solution has yet been obtained. Assuming the steady flow to be two-dimensional, irrotational and frictionless, an analytical solution for the flow field is obtained accounting for the presence of two free boundaries. By applying...
The optimum shape of an hydrofoil with no cavitation
Two methods for solving an initial-boundary value problem for a system of Saint-Venant equations.