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Content available remote Application of genetic algorithms for optimal positions of source points in the method of fundamental solutions.
Jopek H., Kołodziej J. A.
Computer Assisted Mechanics and Engineering Sciences
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2008
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Vol. 15, No. 3/4
215-224
EN
This paper describes the application of the method of fundamental solutions for 2-D harmonic and biharmonic problems. Also, genetic algorithm is presented as a numerical procedure used for the determination of source points positions. Choosing good locations of source points is crucial in the MFS as it has a great impact on the quality of the solution. Genetic algorithm is applied in order to find such an arrangement of source points, which provides the solution of sufficient accuracy.
2
Content available remote Symplectic integrators for cascade of mass-spring system
Jopek H., Stręk T.
Vibrations in Physical Systems
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2006
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Vol. 22
155--160
3
Simulation of thermal convection depending on the angle between gravity force and temperature gradient
Jopek H.
Systems : journal of transdisciplinary systems science
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2006
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Vol. 11, nr 1
29-34
EN
In this papers the influence of the angle between the gravity force and the temperature gradient on the convection process is studied and simulated. Free convection is the kind of heat transfer in which the fluid's motion is caused by the volume forces, usually by the gravity force but also due to centrifugal forces or magnetic field's forces. The differences of temperature around the body are connected to differences of density and consequently buoyant force appears. For that reason, in the equations of motion the volume force is substituted by the expression representing the difference in specific weight and bouyancy which is proportional to the difference of density. It is a very common phenomenon that the convection appears in the film of fluid between the surfaces of two different temperatures
4
Content available remote Laminar flow in trapezoidal grooves at finite Bond numbers with shear stress at the liquid-vapor interface by the method of fundamental solutions
Jopek H., Kołodziej J. A., Stręk T.
Computer Assisted Mechanics and Engineering Sciences
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2006
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Vol. 13, No. 3
395-405
EN
The problem of determination of Poiseuille number for a steady gravitational flow of liquid in an inclined open trapezoidal groove is addressed. The solution comprises of two parts. First, for a given groove's dimension, liquid-solid contact angle, and the Bond number, the shape of the free surface is determined starting from the Young--Laplace equation. The shooting method is used for solution of a two-point boundary value problem. Then, having determined the shape of the free surface and slope the groove, the fully developed laminar flow is determined. The boundary value problem is solved using the method of fundamental solutions. Given the distribution of liquid velocity, the Poiseuille number, as a function of the other parameters of the model is analysed.
5
Content available remote The Rayleigh-Benard Convection Analysis by the Lorenz Dynamical System
Jopek H., Strek T.
Vibrations in Physical Systems
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2004
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Vol. 21
183--186
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