A numerical method for the solution of the nonlinear turbulent one-dimensional free surface flow equations

2017 ◽  
Vol 22 (1) ◽  
pp. 81-86
Author(s):  
Sujit K Bose
Keyword(s):  
Free Surface ◽  
Numerical Method ◽  
Free Surface Flow ◽  
Surface Flow ◽  
One Dimensional ◽  
Flow Equations

Recipes for Computing the Steady Free-Surface Flow Due to a Source Distribution

1992 ◽  
Vol 36 (04) ◽  
pp. 346-359
Author(s):  
Dane Hendrix ◽  
Francis Noblesse
Keyword(s):  
Free Surface ◽  
Numerical Method ◽  
Steady Flow ◽  
Velocity Potential ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Source Distribution ◽  
Steady Velocity ◽  
Constant Distribution

This study provides complete and precise rules for evaluating the steady velocity potential of a piece-wise-constant distribution of Kelvin-Havelock sources on flat triangular hull panels and straight waterline segments with three digits of accuracy. The recipes yield a reliable and practical basis for a numerical method to compute steady flow about a ship using a distribution of Kelvin-Havelock sources.

Implicit Bidiagonal Scheme for Depth-Averaged Free-Surface Flow Equations

2000 ◽  
Vol 126 (6) ◽  
pp. 425-436 ◽  
Author(s):  
Alexander G. Panagiotopoulos ◽  
Johannes V. Soulis
Keyword(s):  
Free Surface ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Flow Equations

scholarly journals COMPARATIVE EFFICIENCIES STUDY OF SLOT MODEL AND MOUSE MODEL IN PRESSURISED PIPE FLOW

2014 ◽  
pp. 83-88
Author(s):  
Saroj Kumar Pandit ◽  
Yoshihiro Oka ◽  
Naohide Shigeta ◽  
Masahiro Watanabe
Keyword(s):  
Free Surface ◽  
Mouse Model ◽  
Numerical Models ◽  
Free Surface Flow ◽  
Numerical Approach ◽  
Surface Flow ◽  
Single Type ◽  
One Dimensional ◽  
Type Flow ◽  
Implicit Finite Difference

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.

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