Results 21 to 30 of about 23,352 (256)
Solution of the boundary value problem of heat conduction in a cone [PDF]
Opuscula Mathematica, 2022 In the paper we consider the boundary value problem of heat conduction in a non-cylindrical domain, which is an inverted cone, i.e. in the domain degenerating into a point at the initial moment of time.
Murat Ramazanov +2 more
doaj +1 more source
Numerical simulation of fluid flow with a fast Boundary‐Domain Integral Method
PAMM, 2023 AbstractFor the simulation of fluid flow the velocity‐vorticity formulation of the Navier‐Stokes equations can be used. Approximating the first order time derivative in these equations by finite differences, essentially, the Yukawa equation for the velocity has to be solved with an inhomogeneity governed by the vorticity.
Jan Tibaut, Jure Ravnik, Martin Schanz
openaire +1 more source
Computational fluid dynamics by boundary–domain integral method
International Journal for Numerical Methods in Engineering, 1999 Summary: We present a boundary-domain integral method for the solution of general transport phenomena in incompressible fluids governed by Navier-Stokes equations. Velocity-vorticity formulation of the conservation equations is employed. Different integral representations for conservation field functions based on different fundamental solutions are ...
Škerget, Leopold +2 more
openaire +3 more sources
PENENTUAN JENIS FUNGSI BASIS RADIAL DALAM DUAL RECIPROCITY BOUNDARY ELEMENT METHOD
Majalah Ilmiah Matematika dan Statistika, 2021 Problems involving modified Helmholtz equation are considered in this paper. To solve the problem numerically, dual reciprocity boundary element method (DRBEM) is employed.
Millatuz Zahroh
doaj +1 more source
COUPLING OF THE FAST BOUNDARY-DOMAIN INTEGRAL METHOD WITH THE STOCHASTIC COLLOCATION METHOD FOR FLUID FLOW SIMULATIONS [PDF]
WIT Transactions on Engineering Sciences, 2019 In this paper we present the development of a Fast Boundary-Domain Integral Method for the solution of fluid flow and heat transfer problems. Adaptive cross approximation of integral matrices is performed on a hierarchically decomposed matrix structure. We couple the developed flow simulation algorithm with stochastic modelling of input parameters.
Ravnik, Jure +4 more
openaire +3 more sources
Application of DRBEM for 2D sine-Gordon equation
Journal of Taibah University for Science, 2021 This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
doaj +1 more source
Fractal and Fractional, 2023 The Robin boundary condition initial value problem for transient heat conduction with the time-fractional Caputo derivative in a semi-infinite domain with a convective heat transfer (Newton’s law) at the boundary has been solved and analyzed by two ...
Vetlugin Dzhabrailovich Beybalaev +2 more
doaj +1 more source
The Approximate Solution of 2D Dirichlet Problem in Doubly Connected Domains
Advances in Mathematical Physics, 2018 We propose a new method for constructing an approximate solution of the two-dimensional Laplace equation in an arbitrary doubly connected domain with smooth boundaries for Dirichlet boundary conditions.
Atallah El-shenawy, Elena A. Shirokova
doaj +1 more source
Stochastic modelling of nanofluids using the fast Boundary-Domain Integral Method
Engineering Analysis with Boundary Elements, 2019 In this paper, we couple a numerical method aimed at simulation of flow and heat transfer of nanofluids with stochastic modelling of input and material parameters. In order to simulate nanofluids, an in-house numerical method was developed, based on the solution of 3D velocity–vorticity formulation of Navier–Stokes equations.
Ravnik, J. +4 more
openaire +1 more source
Lietuvos Matematikos Rinkinys, 2019 The present paper deals with a generalization of the alternating-direction implicit (ADI) method for a two dimensional Poisson equation in a rectangle domain with a weighted integral boundary condition in one coordinate direction.
Olga Štikonienė, Mifodijus Sapagovas
doaj +1 more source