Transient Diffusion in Arbitrary Shape Porous Bodies: Numerical Analysis Using Boundary-Fitted Coordinates

2012 ◽  
pp. 85-119 ◽  
Author(s):  
Vera S. O. Farias ◽  
Wilton P. Silva ◽  
Cleide M. D. P. S. Silva ◽  
J. M. P. Q. Delgado ◽  
Severino R. Farias Neto ◽  
...  
Keyword(s):  
Numerical Analysis ◽  
Arbitrary Shape ◽  
Porous Bodies ◽  
Transient Diffusion

Stokes Flow Past Porous Bodies of Arbitrary Shape

2020 ◽  
Vol 51 (3) ◽  
pp. 1247-1263
Author(s):  
R. Radha ◽  
B. Sri Padmavati
Keyword(s):  
Stokes Flow ◽  
Arbitrary Shape ◽  
Porous Bodies ◽  
Flow Past

Numerical Solution of Non-Hertzian Elastic Contact Problems

1974 ◽  
Vol 41 (2) ◽  
pp. 484-490 ◽  
Author(s):  
Krishna P. Singh ◽  
Burton Paul
Keyword(s):  
Integral Equation ◽  
Numerical Analysis ◽  
Numerical Solution ◽  
Arbitrary Shape ◽  
Contact Problems ◽  
Hertzian Contact ◽  
Elastic Contact ◽  
New Techniques ◽  
General Method

A general method for the numerical analysis of frictionless nonconformable non-Hertzian contact of bodies of arbitrary shape is developed. Numerical difficulties arise because the solution is extremely sensitive to the manner in which one discretizes the governing integral equation. The difficulties were overcome by utilizing new techniques, referred to as the method of redundant field points (RFP) and the method of functional regularization (FR). The accuracy and efficiency of the methods developed were tested thoroughly against known solutions of Hertzian problems. To illustrate the power of the methods, a heretofore unsolved non-Hertzian problem (corresponding to the case of rounded indentors with local flat spots) has been solved.

Transient diffusion from a well-stirred reservoir to a body of arbitrary shape

AIChE Journal ◽  
1968 ◽  
Vol 14 (6) ◽  
pp. 956-961 ◽  
Author(s):  
Yi Hua Ma ◽  
Lawrence B. Evans
Keyword(s):  
Arbitrary Shape ◽  
Transient Diffusion

scholarly journals A METHOD OF NUMERICAL ANALYSIS OF WAVE PROPAGATION APPLICATION TO WAVE DIFFRACTION AND REFRACTION

1972 ◽  
Vol 1 (13) ◽  
pp. 25 ◽  
Author(s):  
Yoshiyuki Ito ◽  
Katsutoshi Tanimoto
Keyword(s):  
Wave Propagation ◽  
Numerical Analysis ◽  
Wave Height ◽  
Wave Diffraction ◽  
Arbitrary Shape ◽  
Bottom Topography ◽  
Height Distribution ◽  
Initial State ◽  
Wave Refraction ◽  
Wave Height Distribution

A method is presented to obtain numerically wave patterns in the region of arbitrary shape. The principle is to solve the linearized wave equations under given boundary conditions from a certain initial state. In this paper, two principal applications of our method of numerical analysis are presented in the fundamental fashion. The first application of our method is related to wave diffraction. The distribution of wave height along a semi-infinite breakwater and a detached breakwater is calculated and compared with that obtained from the conventional analytic solutions to confirm the validity of our numerical method. Three examples of application are presented to the wave height distribution along breakwaters of arbitrary shape and of arbitrary reflecting power and to wave force upon a large isolated vertical structure. The second application is to wave refraction. In particular, this method of numerical analysis is applicable to the analysis of wave propagation in the region of ray intersections which are indicated by the conventional geo-optic wave refraction theory. An example of application to a submerged shoal with concentric circular contours where a cusped caustics is formed is presented and the calculated wave height distribution around the shoal is compared with that obtained from hydraulic model experiments. Our method of numerical analysis might be applied to the calculation of wave height distribution in the region of more realistic bottom topography and it is possible to include vertical boundaries of arbitrary shape.

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