ISSN:
0029-5981
Keywords:
non-singular boundary integral equation
;
spectral method
;
potential flows
;
Engineering
;
Numerical Methods and Modeling
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
The boundary spectral method for solving three-dimensional non-lifting potential problems is developed. This method combines spectral approximations and the direct numerical integration such as Gaussian quadrature or trapezoidal rules successfully. The singularities of the integral equation are completely removed by subtracting known solutions from the Laplace equation. After discretization, every element of the resultant matrix only contains integrals with non-singular kernels. Therefore, all the integrals can be implemented easily and efficiently. By spectral approximations, the unknown variable is expressed as a truncated series of basis functions, which are orthogonal usually. Instead of solving the variables at collocation points in the conventional methods, the coefficients of basis functions are determined in the spectral approach. It is shown that the new method reduces a lot of number of unknowns, storage of matrix elements, and computer time for solving the algebraic equations. © 1998 John Wiley & Sons, Ltd.
Additional Material:
2 Ill.
Type of Medium:
Electronic Resource
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