Imposition of essential boundary conditions by displacement constraint equations in meshless methods

2001 ◽  
Vol 17 (3) ◽  
pp. 165-178 ◽  
Author(s):  
Xiong Zhang ◽  
Xin Liu ◽  
Ming-Wan Lu ◽  
Yong Chen
Keyword(s):  
Boundary Conditions ◽  
Meshless Methods ◽  
Constraint Equations ◽  
Displacement Constraint

Pseudospectral Meshless Radial Point Hermit Interpolation Versus Pseudospectral Meshless Radial Point Interpolation

2019 ◽  
Vol 17 (07) ◽  
pp. 1950023 ◽  
Author(s):  
Elyas Shivanian
Keyword(s):  
Boundary Conditions ◽  
Interpolation Method ◽  
Meshless Methods ◽  
Basis Functions ◽  
Elliptic Pdes ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Impedance Boundary ◽  
Radial Point Interpolation ◽  
Point Interpolation

This paper develops pseudospectral meshless radial point Hermit interpolation (PSMRPHI) and pseudospectral meshless radial point interpolation (PSMRPI) in order to apply to the elliptic partial differential equations (PDEs) held on irregular domains subject to impedance (convective) boundary conditions. Elliptic PDEs in simplest form, i.e., Laplace equation or Poisson equation, play key role in almost all kinds of PDEs. On the other hand, impedance boundary conditions, from their application in electromagnetic problems, or convective boundary conditions, from their application in heat transfer problems, are nearly more complicated forms of the boundary conditions in boundary value problems (BVPs). Based on this problem, we aim also to compare PSMRPHI and PSMRPI which belong to more influence type of meshless methods. PSMRPI method is based on a combination of meshless methods and spectral collocation techniques. The point interpolation method with the help of radial basis functions is used to construct shape functions which act as basis functions in the frame of PSMRPI and PSMRPHI methods. While the latter one has been rarely used in applications, we observe that is more accurate and reliable than PSMRPI method.

scholarly journals A new method for essential boundary conditions imposition in explicit meshless methods

2017 ◽  
Vol 80 ◽  
pp. 94-104 ◽  
Author(s):  
Grand Roman Joldes ◽  
Habib Chowdhury ◽  
Adam Wittek ◽  
Karol Miller
Keyword(s):  
Boundary Conditions ◽  
Meshless Methods ◽  
New Method

scholarly journals Constraint Analysis and Redundancy of Planar Closed Loop Double Chain Linkages

2014 ◽  
Vol 6 ◽  
pp. 635423 ◽  
Author(s):  
Jianguo Cai ◽  
Xiaowei Deng ◽  
Yixiang Xu ◽  
Jian Feng
Keyword(s):  
Boundary Conditions ◽  
Closed Loop ◽  
Jacobian Matrix ◽  
Null Space ◽  
Degree Of Freedom ◽  
Double Chain ◽  
Constraint Equations ◽  
System Constraint ◽  
Natural Coordinate ◽  
Planar Linkages

This paper studies the kinematics of planar closed double chain linkages using the natural coordinate method. Different constraints including the rigid bar, pin joint, generalized angulated element (GAE) joint, and the boundary conditions of linkages were firstly used to form the system constraint equations. Then the degree of freedom of the linkages was calculated from the dimension of null space of the Jacobian matrix, which is the derivative of the constraint equations with respect to time. Furthermore, the redundant constraints can also be given by this method. Many types of planar linkages, such as the Hoberman linkage, Types I and II GAEs, nonintersecting GAEs, and linkages with the loop parallelogram condition, were investigated in this paper. It is found that when three boundary conditions are added to the system, the global motion of the system is lost. The results show that these linkages have only one degree of freedom. Moreover, the last two GAE constraints of the numerical examples given in this paper are redundant.

Boundary Conditions and Constraint Equations for Simulation of Energy Exchange

2013 ◽  
Vol 315 ◽  
pp. 929-935 ◽  
Author(s):  
Zdenek Poruba ◽  
Jan Szweda ◽  
Jiří Podešva
Keyword(s):  
Heat Exchanger ◽  
Boundary Conditions ◽  
Air Conditioning ◽  
Energy Exchange ◽  
Cfd Simulation ◽  
High Dimensionality ◽  
Constraint Equations ◽  
Conditioning Process ◽  
Special Vehicle

The contribution and presented work deals with the CFD simulation of heating and air conditioning process of a special vehicle. The aim of the work is then the capacity validation of the heat exchanger which provides the heating or cooling of the air supplying the vehicle. Because of the high dimensionality and complexity of the whole task, the number of simplifications in the form of proper boundary conditions and constraint equations was proposed by authors. The presented paper contains the presentation and discussion of the used simplifications, the saved computational capacities are accented and results in the form of distribution of thermomechanical quantities are presented. Finally, the capacity of heat exchanger used is validated.

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