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- W2307744155 abstract "Mathematical formulation of processes in different areas of physics, e. g. fluid flows and transport phenomena through porous media, electrostatics and electrodynamics, heat conduction etc. lead to boundary value problems for partially differential equation elliptical type in term of a potential function which is characteristic for the considered process. In many engineering applications, the processes mentioned above, have behaviours that mathematically represent singularities (point sources/sinks or line sources/sinks etc. in 2-D or 3-D domain). Generally the numerical solutions with classical numerical methods like FVM or FVM lead to difficulties. In the paper a solution that eliminates these difficulties and shortcomings are present a method based on integral representation of the solution, combining the Analytical Elements and Boundary Elements. The presentation will be focused especially on the flow problems in porous media where the singularities are wells or drains shaped as thin objects of finite length etc. The 3-D flow domain is constituted of several arbitrary distributed sub-domains with different conductivity's (e.g. hydraulic conductivity) called Non-Singularity-Objects (NSO) and several point- source/sink line-source/sink as subdomains called Singularity-Objects (SO) which can be located arbitrarily regarding the NSO. On the boundary of the NSO transition conditions between the internal and external flow should be satisfied while on the boundary of the SO only boundary conditions for the external process are required. The singular integral representation of the solution of boundary value problems for each object will be used as theoretical base for a BEM 3D software implementation." @default.
- W2307744155 created "2016-06-24" @default.
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- W2307744155 date "2010-11-03" @default.
- W2307744155 modified "2023-09-26" @default.
- W2307744155 title "Analytical- and boundary elements based integral representation for numerical solution of 3-D potential problems in heterogeneous media containing singularities" @default.
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