Analysis of selected standard implicit schemes with arbitrary mesh movement

1987 ◽  
Author(s):  
PAUL ORKWIS ◽  
D. MCRAE
Keyword(s):  
Mesh Movement ◽  
Implicit Schemes

Efficient semi-implicit schemes for stiff systems

2006 ◽  
Vol 214 (2) ◽  
pp. 521-537 ◽  
Author(s):  
Qing Nie ◽  
Yong-Tao Zhang ◽  
Rui Zhao
Keyword(s):  
Stiff Systems ◽  
Implicit Schemes

scholarly journals Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Abdon Atangana ◽  
Dumitru Baleanu
Keyword(s):  
Parabolic Equation ◽  
Fractional Calculus ◽  
Numerical Solution ◽  
Parabolic Equations ◽  
Difference Schemes ◽  
Stability And Convergence ◽  
Implicit Schemes ◽  
The Stability

A kind of parabolic equation was extended to the concept of fractional calculus. The resulting equation is, however, difficult to handle analytically. Therefore, we presented the numerical solution via the explicit and the implicit schemes. We presented together the stability and convergence of this time-fractional parabolic equation with two difference schemes. The explicit and the implicit schemes in this case are stable under some conditions.

Euler equations - Implicit schemes and boundary conditions

AIAA Journal ◽  
1983 ◽  
Vol 21 (5) ◽  
pp. 699-706 ◽  
Author(s):  
Sukumar R. Chakravarthy
Keyword(s):  
Boundary Conditions ◽  
Euler Equations ◽  
Implicit Schemes

A reduced mesh movement method based on pseudo elastic solid for fluid–structure interaction

2017 ◽  
Vol 232 (6) ◽  
pp. 973-986
Author(s):  
Jize Zhong ◽  
Zili Xu
Keyword(s):  
Computing Time ◽  
Fluid Structure Interaction ◽  
Elastic Solid ◽  
Continuity Condition ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Wing Flutter ◽  
Mesh Movement ◽  
Nodal Displacements ◽  
Low Order

A reduced mesh movement method based on pseudo elastic solid is developed and applied in fluid–structure interaction problems in this paper. The flow mesh domain is assumed to be a pseudo elastic solid. The vibration equation for the structure and the pseudo elastic solid together is derived by applying the displacement continuity condition on the fluid–structure interface. Considering that the actual fluid–structure coupled vibration for structures often appears to be associated with low-order modes, the nodal displacements for the structure and the flow mesh can be computed using the modal superposition of a few low-order modes. Coupled fluid–structure computations are performed for flutter problems of a beam and wing 445.6 using the present method. The calculated results are consistent with the data reported in other references. The computing time is reduced by 65.5% for the beam flutter and 54.8% for the wing flutter compared with the pre-existing elastic solid method.

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