Transient analysis of full‐space unbounded domains by reciprocal absorbing boundaries

2019 ◽  
Vol 44 (1) ◽  
pp. 3-18
Author(s):  
Cuong T. Nguyen ◽  
John L. Tassoulas
Keyword(s):  
Transient Analysis ◽  
Unbounded Domains ◽  
Absorbing Boundaries

CONTINUED-FRACTION ABSORBING BOUNDARY CONDITIONS FOR THE WAVE EQUATION

2000 ◽  
Vol 08 (01) ◽  
pp. 139-156 ◽  
Author(s):  
MURTHY N. GUDDATI ◽  
JOHN L. TASSOULAS
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Transient Analysis ◽  
Continued Fraction ◽  
Finite Difference Methods ◽  
Unbounded Domains ◽  
Absorbing Boundary Conditions ◽  
High Order ◽  
Absorbing Boundary ◽  
Wave Phenomena

Absorbing boundary conditions are generally required for numerical modeling of wave phenomena in unbounded domains. Local absorbing boundary conditions are generally preferred for transient analysis because of their computational efficiency. However, their accuracy is severely limited because the more accurate high-order boundary conditions cannot be implemented easily. In this paper, a new arbitrarily high-order absorbing boundary condition based on continued fraction approximation is presented. Unlike the existing boundary conditions, this one does not contain high-order derivatives, thus making it amenable to implementation in conventional C0 finite element and finite difference methods. The superior numerical properties and implementation aspects of this boundary condition are discussed. Numerical examples are presented to illustrate the performance of these new high-order boundary condition.

TRANSIENT ANALYSIS OF HEAT TRANSFER IN PARALLEL SQUARED CHANNELS FOR HIGH TEMPERATURE THERMAL STORAGE

2015 ◽  
Vol 7 (5-6) ◽  
pp. 477-489 ◽  
Author(s):  
Assunta Andreozzi ◽  
Bernardo Buonomo ◽  
Oronzio Manca ◽  
Salvatore Tamburrino
Keyword(s):  
Heat Transfer ◽  
High Temperature ◽  
Transient Analysis ◽  
Thermal Storage
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