Difference Methods for the Piston Problem

We shall consider a piston problem in hydrodynamics and give difference methos to to solve it. Our aim is to find the algorithm in the neighbourhood of the piston in which the piston motion is calculated simultaneously. In our experiment we shall use the modified Godunov's scheme in the interior region away from the piston. Our method is an extension of the scheme to the boundary value problem

ADINA Computer II : I. Architecture and Theoretical estimates

This paper gives a proposal about a new parallel computer of a MIMD array type, being suitable especially for high speed computing in engineering and science. It has a master unit, N submaster units and N² slave units, having their own processors and private memories respectively. Also, there are common memories between every submaster and every corresponding slave and further buffer memories used for transferring data between any allowed pair of slaves. In comparison with the ADINA Computer I [1] proposed previously, the new computer (ADINA Computer II) is useful for not only one and two dimensional problems, but also for three dimensional problems. Furthermore, it more easily allows an increase of the number of processors. Theoretical estimates for some examples of computation show that the ADINA Computer II is also very efficient

Parallel Programming Language ADETRAN

Summary. The programming language called ADETRAN is described. It was developed for the parallel computer ADENA on the basis of FORTRAN 77. It is designed powerful enough to support some parallel control commands. In view of its FORTRAN-likeness, emphasis was placed on parallel syntax and control

ADENA Computer III

This paper gives a proposal about a new parallel architecture composed of many vector processors, and being especially designed for number-crunching simulation problems in engineering and science. This computer is elaborated to systematize up-to-date supercomputer units (vector processors) in a united parallel machine of the SIMD type. It also aims to reduce hardware quantity of communication network among so many processors as in ADENA Ⅰ and Ⅱ, proposed previously by the author

ADENA Computer IV

A new parallel computer system, ADENA ⅠⅤ, is proposed as a most hopeful candidate for the next generation machine for supercomputing. It is a complex of vector processor units and ADENA's network and may be called a vector-parallel computer. Details of the architecture are exposed in relation to its usage, and an example of compact design is shown as a model for personal supercomputing. ADENA ⅠⅤ will succeed the present supercomputers of the vector type as well as ADENA ⅠⅠ and ⅠⅠⅠ, and it promises to have merits in relation to both present highend techniques. Its parallel language also may succeed ADETRAN for the ADENA family

ADINA Computer I and II : II. Data Structure

The ADINA Computer treats data of a characteristic structure which is very successful for parallel computation, and also shows well the structure of the machine itself. The data structure, as shown in this paper, is easily introduced into a high level programming language PASCAL. For illustration, some programs are shown by using the language

A Consolidation Problem and its Solution

As we know in civil engineering, it is the first task for constructing banks or building structures to predict the subsidence of the underlying ground. When ground of clay saturated with pore water is compressed, the water flows out and the total volume decreases. Consequently, the ground subsides and the strength of the clay increases. We call this phenomena consolidation. For the simplicity of analysis, we usually assume that the thickness of the clay stratum will not vary during consolidation and neglect the effect by its decrease. Alternatively in this paper, we formulate a mathematical model of one dimensional consolidation problem, taking the decrease of the thickness of the clay stratum into consideration. And we show the existence and uniqueness of the exact solution of the problem under the assumption of small initial data

ADINA Computer I : I. Architecture and Theoretical estimates

We propose a new form of architecture, a parallel computer, especially for the simulation of physical phenomena. The computer is a hierarchy composed of a host computer and N slave processors, with their own memories. It has a two dimensional array of N× N buffer memories being provided for transferring data among the slave processors. We give some theoretical estimates, which show a very high efficiency

Approximate Solutions of Mathematical Models of Supercooling Solidification

In [1], [2], some one-dimensional mathematical models of supercooling solidification have been established, and some existence theorems have been proven by a difference method. In this paper, the models and the method are shown again in §§ 1, 2 and another analytic method of approximate solution is proposed in § 3. It is based on the assumption that a profile of temperature distribution at any time may be considered linear in every inner region. By some numerical examples, solutions by the approximate method are compared with some solutions given by the difference method. It is then realized that the approximate solutions come sufficiently close to the difference solutions