Home > Forums > General Forums > Main CFD Forum

Unfamiliar form of shallow water equations, help identifying?

Updated Threads

Reply

Search this Thread

September 2, 2015, 21:12	Unfamiliar form of shallow water equations, help identifying?	#1
ScaledWheel New Member SW Join Date: Sep 2015 Posts: 1 Rep Power: 0	Hi all, I found an unfamiliar form of the SWE in some ocean dynamics literature, and it's unfamiliar to me. Mass is straightforward $\frac{\partial h}{\partial t} + \frac{\partial (hu)}{\partial x} + \frac{\partial (hv)}{\partial y} =0$ but I don't recognize the form of the momentum $h ( \frac{\partial u}{\partial t} + u \frac{\partial u}{\partial x} - fv) = -gh \frac{\partial \eta}{\partial x} + \frac{\partial }{\partial x}( \nu h \frac{\partial u}{\partial x} ) + \frac{\partial }{\partial y} ( \nu h \frac{\partial u }{\partial y}) - b$ $h ( \frac{\partial v}{\partial t} + u \frac{\partial v}{\partial x} + fu) = -gh \frac{\partial \eta}{\partial y} + \frac{\partial }{\partial x}( \nu h \frac{\partial v}{\partial x} ) + \frac{\partial }{\partial y} ( \nu h \frac{\partial v}{\partial y}) - b$ where is a drag term. I'm more familiar with the conservative form of momentum used for finite volume approaches, but this looks to be something different. Anyone have any leads on the form of these momentum equations?

Reply

« Previous Thread | Next Thread »

Posting Rules
You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Trackbacks are Off Pingbacks are On Refbacks are On Forum Rules

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Water subcooled boiling	Attesz	CFX	7	January 5, 2013 03:32
Shallow water 2D on irregular bed	RicardoGoncalves	Main CFD Forum	0	July 27, 2010 04:38
shallow water VS deep water	Paul	Main CFD Forum	10	August 30, 2004 11:56
BCs of hyperbolic Shallow Water Equation	Kang, S. K.	Main CFD Forum	4	November 21, 2000 21:20
Equations in full form	Mark Render	Main CFD Forum	3	June 20, 2000 15:05

All times are GMT -4. The time now is 15:06.