scholarly journals Improving the Accuracy of the Charge Simulation Method for Numerical Conformal Mapping

2017 ◽  
Vol 2017 ◽  
pp. 1-9
Author(s):  
Fuming Lai ◽  
Yingzi Wang ◽  
Yibin Lu ◽  
Jian Wang
Keyword(s):  
Conformal Mapping ◽  
Dynamic System ◽  
Mapping Function ◽  
Constraint Equation ◽  
Simulation Method ◽  
Conformal Radius ◽  
Kutta Method ◽  
Charge Simulation Method ◽  
Numerical Conformal Mapping ◽  
Runge Kutta Method

In this paper, we present a method to improve the accuracy of the charge simulation method for numerical conformal mapping. The method constructs the constraint equation by using the charge simulation method. The charges and the conformal radius are computed by using the Runge-Kutta method based on the dynamic system of the constraint equation. By using this method, we can obtain new approximated conformal mapping function and improve the accuracy of numerical conformal mapping compared to the charge simulation method for numerical conformal mapping proposed by Amano. Furthermore, the corresponding numerical results are shown to illustrate the performance of the proposed method.

scholarly journals Stresses of feller buncher on thinnings during technological moves

2018 ◽  
Author(s):  
В.А. Александров ◽  
А.В. Александров ◽  
Г.Ш. Гасымов
Keyword(s):  
Mathematical Model ◽  
Dynamic System ◽  
Dynamic Load ◽  
Mathematical Description ◽  
Lagrange Equation ◽  
Process Equipment ◽  
System Of Equations ◽  
Programming Environment ◽  
Kutta Method ◽  
Runge Kutta Method

Разработана математическая модель динамической системы: «Валочно- пакетирующая машина – предмет труда – дерево». Математическое описание составлено в форме уравнения Лагранжа 2-го рода. Система уравнений решена методом Рунге–Кутта, с помощью среды программирования MathCAD. Апробация модели осуществлена на примере серийно выпускаемых валочно-пакетирующих машин ЛП – 19А в режимах разгона и стопорения. Установлено, что динамическая нагрузка на технологическое оборудование при технологических переездах сопоставима с нагрузкой при обработке (пакетировании) дерева. A mathematical model of a dynamic system has been developed: «The feller buncher – subject of labor – the tree». The mathematical description is made up in the form of the Lagrange equation of the 2nd kind. The system of equations is solved by the Runge–Kutta method, using the MathCAD programming environment. Approbation of the model is carried out on the example of the commercially available LP-19A feller buncher machines in acceleration and stopping modes. Concluded that the dynamic load on the process equipment during technological moves is comparable to the load during the processing (packaging) of the tree.

Solution of the wedge entry problem by numerical conformal mapping

1972 ◽  
Vol 56 (1) ◽  
pp. 173-192 ◽  
Author(s):  
O. F. Hughes
Keyword(s):  
Conformal Mapping ◽  
Functional Dependence ◽  
Mapping Function ◽  
Computer Method ◽  
Analytic Method ◽  
Inviscid Fluid ◽  
Numerical Conformal Mapping ◽  
Method Of Solution ◽  
Entire Flow

An accurate quasi-analytic method of solution is presented for the classical hydrodynamics problem of the constant-velocity entry of a prismatic wedge into a weightless incompressible inviscid fluid. The method uses the Wagner function W, which reduces the problem to the determination of a mapping function Λ = [Lscr ](W) for the hodograph. [Lscr ](W) is constructed by using the hodograph for an unsymmetric diamond together with a modifying or ‘preparatory’ trans-formation. A computer method of conformal mapping is developed and is used to obtain this latter transformation. Results are presented for the case of a 90° wedge and show that the solution is both more accurate than previous solutions, having an error of less than 1 %, and more complete, as it portrays the entire flow field and furnishes information about the functional dependence among the variables.

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