One-dimensional modelling of curvilinear free surface flow: generalized Matthew theory

2014 ◽  
Vol 52 (1) ◽  
pp. 14-23 ◽  
Author(s):  
Oscar Castro-Orgaz ◽  
Willi H. Hager
Author(s):  
Saroj Kumar Pandit ◽  
Yoshihiro Oka ◽  
Naohide Shigeta ◽  
Masahiro Watanabe

The flow in sewers is unsteady and variable between free-surface to full pipe pressurized flow. Sewers are designed on the basis of free surface flow (gravity flow) however they may carry pressurized flow. Preissmann Slot concept is widely used numerical approach in unsteady free surface-pressurized flow as it provides the advantage of using free surface flow as a single type flow. Slot concept uses the Saint-Venant’s equations as a basic equation for one-dimensional unsteady free surface flow. This paper includes two different numerical models using Saint Venant’s equations. The Saint Venant`s equations of continuity and momentum are solved by the Method of Characteristics and presented in forms for direct substitution into FORTRAN programming for numerical analysis in the first model. The MOUSE model carries out computation of unsteady flows which is founded on an implicit, finite difference numerical solution of the basic one dimensional Saint Venant’s equations of free surface flow. The simulation results are compared to analyze the nature and degree of errors for further improvement.


1975 ◽  
Vol 3 (1) ◽  
pp. 51-68 ◽  
Author(s):  
Thomas G. Smith ◽  
J.O. Wilkes

Author(s):  
Arthur E. P. Veldman ◽  
Henk Seubers ◽  
Peter van der Plas ◽  
Joop Helder

The simulation of free-surface flow around moored or floating objects faces a series of challenges, concerning the flow modelling and the numerical solution method. One of the challenges is the simulation of objects whose dynamics is determined by a two-way interaction with the incoming waves. The ‘traditional’ way of numerically coupling the flow dynamics with the dynamics of a floating object becomes unstable (or requires severe underrelaxation) when the added mass is larger than the mass of the object. To deal with this two-way interaction, a more simultaneous type of numerical coupling is being developed. The paper will focus on this issue. To demonstrate the quasi-simultaneous method, a number of simulation results for engineering applications from the offshore industry will be presented, such as the motion of a moored TLP platform in extreme waves, and a free-fall life boat dropping into wavy water.


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