Finite difference analog of the Coriolis force in papers by Endoh

1974 ◽  
Vol 30 (4) ◽  
pp. 205-206
Author(s):  
Kenzo Takano
Keyword(s):  
Finite Difference ◽  
Coriolis Force ◽  
Difference Analog ◽  
Finite Difference Analog

scholarly journals TRANSIENT FINITE-DIFFERENCE TSUNAMI CALCULATIONS

1980 ◽  
Vol 1 (17) ◽  
pp. 50
Author(s):  
Ove Skovgaard ◽  
Ivar G. Jonsson
Keyword(s):  
Exact Solution ◽  
Wave Equation ◽  
Finite Difference ◽  
Difference Scheme ◽  
Coriolis Force ◽  
Finite Difference Scheme ◽  
Momentum Conservation ◽  
Bottom Friction ◽  
Incoming Wave ◽  
Starting Point

The applicability of a time-stepping approximate finite difference method is tested for the response of a plane incoming tsunami of small amplitude meeting an idealized island (see Fig 1). The resulting amplitudes are compared with the exact solution, which comes out of solving the linear shallow water wave equation for the area in question. Since this wave equation excludes dissipation (bottom friction) and the Coriolis force, these terms are omitted in the Boussinesq equations, formulated as mass and momentum conservation, which are the bases of the finite difference scheme. Grid size is 1 x 1 km. The incoming wave is time-harmonic with a period of T = 480 s; the (test) solution to the wave equation is thus a truly steady-state solution. The finite difference scheme, however, has a so-called "cold start" and so it is transient in principle. During a time corresponding to three periods, in which disturbances from the open boundaries still have only a small effect on the wave field near the island, the time-series of signals in selected points can define a steady response, though. Considering the inevitable shortcomings of a provisional study like the present, satisfactory agreement with the exact solution is met over the shoal in Fig 1. We have thus a promising starting point for more elaborate studies, comprising new filtering algorithms for the boundaries, tests with real transient input signals, and including non-linearity, bottom friction, and the Coriolis force. The numerical scheme used is the so-called System 21, developed at the Danish Hydraulic Institute and placed at our disposal for the present study.

Finite difference analogue of the Coriolis force

1975 ◽  
Vol 31 (1) ◽  
pp. 51-52
Author(s):  
Masahiro Endoh
Keyword(s):  
Finite Difference ◽  
Coriolis Force ◽  
Difference Analogue

Computer Simulation of the Response of Amperometric Biosensors in Stirred and non Stirred Solution

2003 ◽  
Vol 8 (1) ◽  
pp. 3-18 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
J. Kulys
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Finite Difference ◽  
Mass Transport ◽  
Enzyme Reaction ◽  
Analyte Concentration ◽  
Amperometric Biosensors ◽  
Finite Difference Technique ◽  
Enzyme Layer ◽  
Biosensor Response

A mathematical model of amperometric biosensors has been developed to simulate the biosensor response in stirred as well as non stirred solution. The model involves three regions: the enzyme layer where enzyme reaction as well as mass transport by diffusion takes place, a diffusion limiting region where only the diffusion takes place, and a convective region, where the analyte concentration is maintained constant. Using computer simulation the influence of the thickness of the enzyme layer as well the diffusion one on the biosensor response was investigated. The computer simulation was carried out using the finite difference technique.

Sign in / Sign up

Export Citation Format

Share Document