Numerical evaluation of 2D-Green function of viscoelastic multi-layered halfplane for concentrated/distributed forces.

This study presents a simple, accurate, and efficient method for numerically evaluating the Green function, and its gradient, of the theory of water-wave radiation and diffraction. The method is based on five expressions for the Green function that are useful in complementary regions of the quadrant in which the Green function is defined. These expressions consist of asymptotic expansions, ascending series, two complementary Taylor series, and a numerical approximation based on a modified form of the Haskind integral representation. The four series representations are refinements of the series obtained previously in Noblesse [1].2 These series express the Green function and its gradient as sums of power series and terms involving functions of only one variable. The power series can be evaluated quickly by using recurrence relations; and the functions of one variable, by using rational approximations. The method permits the Green function and its gradient to be evaluated with an absolute error smaller than 10–6 very efficiently (with computing time less than 6 × 10–5 sec on a CDC CYBER 176 computer). A listing of the FORTRAN subroutine is included in the paper.

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Numerical Evaluation on Axial Stiffness of Converged Nodal Connection Systems Considering Bolt Clearance

The Journal of Next-generation Convergence Technology Association ◽

10.33097/jncta.2020.04.02.200 ◽

2020 ◽

Vol 4 (2) ◽

pp. 200-206

Author(s):

Kyung-Ju Hwang ◽

Keyword(s):

Numerical Evaluation ◽

Axial Stiffness

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NUMERICAL EVALUATION OF NATURAL CONVECTION HEAT TRANSFER IN A SUPPLY-AIR PAZIAUD WINDOW

Computational Thermal Sciences An International Journal ◽

10.1615/computthermalscien.2014011147 ◽

2014 ◽

Vol 6 (5) ◽

pp. 383-395 ◽

Cited By ~ 1

Author(s):

Abdelillah Amrani ◽

Nadia Dihmani ◽

Samir Amraqui ◽

Ahmed Mezrhab

Keyword(s):

Heat Transfer ◽

Natural Convection ◽

Numerical Evaluation ◽

Convection Heat Transfer ◽

Natural Convection Heat Transfer ◽

Convection Heat

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Exponentially Convergent Approximation to the Elliptic Solution Operator

Computational Methods in Applied Mathematics ◽

10.2478/cmam-2006-0024 ◽

2006 ◽

Vol 6 (4) ◽

pp. 386-404 ◽

Cited By ~ 2

Author(s):

Ivan. P. Gavrilyuk ◽

V.L. Makarov ◽

V.B. Vasylyk

Keyword(s):

Green Function ◽

Boundary Value Problem ◽

Elliptic Boundary ◽

Boundary Value ◽

Solution Operator ◽

Hyperbolic Operator ◽

Elliptic Solution ◽

Elliptic Boundary Value ◽

Sine Family ◽

The Green Function

AbstractWe develop an accurate approximation of the normalized hyperbolic operator sine family generated by a strongly positive operator A in a Banach space X which represents the solution operator for the elliptic boundary value problem. The solution of the corresponding inhomogeneous boundary value problem is found through the solution operator and the Green function. Starting with the Dunford — Cauchy representation for the normalized hyperbolic operator sine family and for the Green function, we then discretize the integrals involved by the exponentially convergent Sinc quadratures involving a short sum of resolvents of A. Our algorithm inherits a two-level parallelism with respect to both the computation of resolvents and the treatment of different values of the spatial variable x ∈ [0, 1].

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