Algorithm 731: A moving-grid interface for systems of one-dimensional time-dependent partial differential equations

1994 ◽  
Vol 20 (2) ◽  
pp. 194-214 ◽  
Author(s):  
J. G. Blom ◽  
P. A. Zegeling
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Time Dependent ◽  
Moving Grid ◽  
Partial Differential ◽  
One Dimensional ◽  
Grid Interface

SYMMETRY BREAKING IN CFD: CAUSES AND CONSEQUENCES

1994 ◽  
Vol 05 (02) ◽  
pp. 189-194 ◽  
Author(s):  
KARL GUSTAFSON ◽  
JOHN McARTHUR
Keyword(s):  
Fluid Dynamics ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Symmetry Breaking ◽  
Steady Flow ◽  
Time Dependent ◽  
Partial Differential ◽  
One Dimensional ◽  
Computational Schemes ◽  
Three Space

Symmetry breaking occurs in the discretizations of the partial differential equations of fluid dynamics, both advertently and inadvertently. Although it can occur even in one-dimensional steady flow algorithms, we have found its consequences to be more pronounced in two and three space dimensions and in the computation of time dependent flows. This has led us to some interesting new computational schemes.

scholarly journals The decomposition method for linear, one-dimensional, time-dependent partial differential equations

2006 ◽  
Vol 2006 ◽  
pp. 1-29 ◽  
Author(s):  
D. Lesnic
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Decomposition Method ◽  
Mathematical Physics ◽  
Time Dependent ◽  
Partial Differential ◽  
One Dimensional ◽  
Lateral Boundary Conditions ◽  
Adomian Decomposition ◽  
Equations Of Mathematical Physics

The analytical solutions for linear, one-dimensional, time-dependent partial differential equations subject to initial or lateral boundary conditions are reviewed and obtained in the form of convergent Adomian decomposition power series with easily computable components. The efficiency and power of the technique are shown for wide classes of equations of mathematical physics.

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