A high-resolution 2-DH numerical scheme for process-based modeling of 3-D turbidite fan stratigraphy

2009 ◽  
Vol 35 (8) ◽  
pp. 1686-1700 ◽  
Author(s):  
Remco M. Groenenberg ◽  
Kees Sloff ◽  
Gert Jan Weltje
2015 ◽  
Vol 80 (1) ◽  
pp. 103-125 ◽  
Author(s):  
Renato Vacondio ◽  
Francesca Aureli ◽  
Alessia Ferrari ◽  
Paolo Mignosa ◽  
Alessandro Dal Palù

2010 ◽  
Vol 22 (S1) ◽  
pp. 911-916 ◽  
Author(s):  
Jia-song Wang ◽  
Hua Liu ◽  
Shi-quan Jiang ◽  
Liang-bin Xu ◽  
Peng-liang Zhao

2016 ◽  
Vol 26 (14) ◽  
pp. 1630041 ◽  
Author(s):  
Sanjeeva Balasuriya

There are many methods for computing stable and unstable manifolds in autonomous flows. When the flow is nonautonomous, however, difficulties arise since the hyperbolic trajectory to which these manifolds are anchored, and the local manifold emanation directions, are changing with time. This article utilizes recent results which approximate the time-variation of both these quantities to design a numerical algorithm which can obtain high resolution in global nonautonomous stable and unstable manifolds. In particular, good numerical approximation is possible locally near the anchor trajectory. Nonautonomous manifolds are computed for two examples: a Rossby wave situation which is highly chaotic, and a nonautonomus (time-aperiodic) Duffing oscillator model in which the manifold emanation directions are rapidly changing. The numerical method is validated and analyzed in these cases using finite-time Lyapunov exponent fields and exactly known nonautonomous manifolds.


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