Well-posed initial conditions and numerical methods for one-dimensional models of liquid dynamics in a horizontal capillary

2015 ◽  
Vol 36 (2) ◽  
pp. 903-913
Author(s):  
Riccardo Fazio ◽  
Alessandra Jannelli
Keyword(s):  
Numerical Methods ◽  
Initial Conditions ◽  
One Dimensional ◽  
Dimensional Models ◽  
Liquid Dynamics ◽  
Well Posed

scholarly journals Simulations of Superluminal Radio Sources

1996 ◽  
Vol 175 ◽  
pp. 439-440 ◽  
Author(s):  
S.S. Komissarov ◽  
S.A.E.G. Falle
Keyword(s):  
Fluid Dynamics ◽  
Numerical Methods ◽  
Recent Progress ◽  
Radio Sources ◽  
Relativistic Jets ◽  
Relativistic Fluid Dynamics ◽  
One Dimensional ◽  
Relativistic Fluid ◽  
Dimensional Models

The superluminal knots of VLBI-sources are widely believed to be shocks travelling along relativistic jets. So far only very simple quasi-one dimensional models have been used to study this phenomenon. Recent progress in numerical methods for relativistic fluid dynamics (Falle & Komissarov 1995) make it possible to carry out much more realistic simulations of such flows.

Extended scaling invariance of one-dimensional models of liquid dynamics in a horizontal capillary

2012 ◽  
Vol 35 (8) ◽  
pp. 935-942 ◽  
Author(s):  
Riccardo Fazio ◽  
Salvatore Iacono ◽  
Alessandra Jannelli ◽  
Giovanni Cavaccini ◽  
Vittoria Pianese
Keyword(s):  
Scaling Invariance ◽  
One Dimensional ◽  
Dimensional Models ◽  
Liquid Dynamics

Computer Simulations for Some One-Dimensional Models of Random Walks in Fluctuating Random Environment

2005 ◽  
Vol 121 (3-4) ◽  
pp. 361-372 ◽  
Author(s):  
C. Boldrighini ◽  
G. Cosimi ◽  
S. Frigio ◽  
A. Pellegrinotti
Keyword(s):  
Random Walks ◽  
Computer Simulations ◽  
Random Environment ◽  
One Dimensional ◽  
Dimensional Models

Mine Impact Burial Prediction From One to Three Dimensions

2008 ◽  
Vol 62 (1) ◽  
Author(s):  
Peter C. Chu
Keyword(s):  
Three Dimensional ◽  
Time History ◽  
Three Dimensions ◽  
Vertical Position ◽  
Burial Depth ◽  
Prediction Errors ◽  
Two Dimensional ◽  
Dimensional Model ◽  
One Dimensional ◽  
Dimensional Models

The Navy’s mine impact burial prediction model creates a time history of a cylindrical or a noncylindrical mine as it falls through air, water, and sediment. The output of the model is the predicted mine trajectory in air and water columns, burial depth/orientation in sediment, as well as height, area, and volume protruding. Model inputs consist of parameters of environment, mine characteristics, and initial release. This paper reviews near three decades’ effort on model development from one to three dimensions: (1) one-dimensional models predict the vertical position of the mine’s center of mass (COM) with the assumption of constant falling angle, (2) two-dimensional models predict the COM position in the (x,z) plane and the rotation around the y-axis, and (3) three-dimensional models predict the COM position in the (x,y,z) space and the rotation around the x-, y-, and z-axes. These models are verified using the data collected from mine impact burial experiments. The one-dimensional model only solves one momentum equation (in the z-direction). It cannot predict the mine trajectory and burial depth well. The two-dimensional model restricts the mine motion in the (x,z) plane (which requires motionless for the environmental fluids) and uses incorrect drag coefficients and inaccurate sediment dynamics. The prediction errors are large in the mine trajectory and burial depth prediction (six to ten times larger than the observed depth in sand bottom of the Monterey Bay). The three-dimensional model predicts the trajectory and burial depth relatively well for cylindrical, near-cylindrical mines, and operational mines such as Manta and Rockan mines.

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