Generalization of the Boundary Integral Method to Nonlinear Problems of Compressible Fluid Flow: The No-Mesh Alternative — Part II

1990 ◽  
pp. 155-160
Author(s):  
Barry Hunt ◽  
Ronald C. Plybon
Keyword(s):  
Fluid Flow ◽  
Compressible Fluid ◽  
Integral Method ◽  
Nonlinear Problems ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Compressible Fluid Flow

scholarly journals Radial basis functions for solving the singular boundary integral equation of the compressible fluid flow around obstacles

2020 ◽  
Vol 34 ◽  
pp. 02003
Author(s):  
Luminiţa Grecu
Keyword(s):  
Integral Equation ◽  
Fluid Flow ◽  
Compressible Fluid ◽  
Computer Code ◽  
Boundary Integral ◽  
Basis Functions ◽  
Singular Boundary ◽  
Compressible Fluid Flow ◽  
Singular Boundary Integral Equation ◽  
Made In

Abstract In this paper we find a numerical solution for the Singular Boundary Integral Equation (SBIE), with sources distribution, of the compressible fluid flow around obstacles. The numerical solution is obtained by using linear boundary elements, radial basis functions for the unknown approximation and the Cauchy Principal Value for the treatment of singularities that appear. The proposed method is implemented into a computer code, made in Mathcad programming language, and, for some particular cases, numerical solutions are found. An analytic checking of the computer code is also made, in order to validate the proposed approach.

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