scholarly journals An improved numerical solution of the singular boundary integral equation of the compressible fluid flow around obstacles using modified shape functions

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Luminiţa Grecu
Keyword(s):  
Integral Equation ◽  
Fluid Flow ◽  
Numerical Solution ◽  
Boundary Integral Equation ◽  
Compressible Fluid ◽  
Boundary Integral ◽  
Singular Boundary ◽  
Shape Functions ◽  
Compressible Fluid Flow ◽  
Singular Boundary Integral Equation

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.

Motion of a rigid particle in Stokes flow: a new second-kind boundary-integral equation formulation

1992 ◽  
Vol 238 ◽  
pp. 579-598 ◽  
Author(s):  
Nadav Liron ◽  
Efrath Barta
Keyword(s):  
Integral Equation ◽  
Boundary Integral Equation ◽  
Stokes Flow ◽  
Infinite Medium ◽  
Boundary Integral ◽  
Singular Boundary ◽  
Rigid Particle ◽  
Integral Equation Formulation ◽  
Mobility Problem ◽  
Singular Boundary Integral Equation

A new singular boundary-integral equation of the second kind is presented for the stresses on a rigid particle in motion in Stokes flow. The integral equation is particularly suitable for the mobility problem – when the forces and moments on the particle are given. A generalized Faxén law is also presented. The power of the method is demonstrated by easily reproducing known results as well as new ones, both analytically and numerically, in infinite medium as well as in confined regions.

scholarly journals LIMIT WAVES ON HORIZONTAL SEA FLOOR

1986 ◽  
Vol 1 (20) ◽  
pp. 41
Author(s):  
Chia-Chi Lu ◽  
John D. Wang ◽  
Bernard Le Mehaute
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Boundary Integral Equation ◽  
Gravity Waves ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Wave Crest ◽  
Solution Technique ◽  
Sea Floor ◽  
Surface Gravity Waves

A numerical solution to periodic nonlinear irrotational surface gravity waves on a horizontal sea floor is developed using an iterative Boundary Integral Equation Method (BIEM). This solution technique is subsequently applied to determine the characteristics of limit waves for which the wave crest theoretically ceases to be rounded and become angled with an included angle of 120 degrees.

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