# Immersed Boundary Formulation

 Register Blogs Members List Search Today's Posts Mark Forums Read August 11, 2008, 14:55 Immersed Boundary Formulation #1 Rave Guest   Posts: n/a Hi, I am writing my own code and I want to use immersed boundary method for simulating flow around moving bodies. I have a question regarding the formulation. According to formulation of Mohd.Yusof we have u(n+1)(i,j)-u(n)(i,j)/dt=Rhs(n)(i,j)+f(n)(i,j) where n is the time advanceme and (i,j) are the x and y co-ordinates If the boudnary is conciding with a grid point and has velocity V we have -->f(n)=V-u(n)/dt-Rhs(n). --> u(n+1)=u(n)+Rhs(n)*dt+f(n)*dt --> u(n+1)=u(n)+Rhs(n)+((V-u(n)/dt)-Rhs(n))*dt --> u(n+1)=V If stationary and no -slip is used V=0 --> u(n+1)=0 am I correct to this point?? If the immersed point is not coinciding with the grid point use linear interpolation and instead of V we have velocity at a particular point for example at u(n)(i,j) to be u(n)(i,j+1)*fac (where the fac is the factor used to multiply that can be computed using linear interpolation so that zero falls in between them)i.e. u(l)(i,j)=fac*u(n)(i,j+1) using same procedure as above we have --> u(n+1)(i,j)=fac*u(n)(i,j+1) am I correct here ??? Is my formulation ok?? Thanks in advance Thread Tools Search this Thread Show Printable Version Email this Page Search this Thread: Advanced Search Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode 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 OffTrackbacks are Off Pingbacks are On Refbacks are On Forum Rules Similar Threads Thread Thread Starter Forum Replies Last Post Attesz CFX 7 January 5, 2013 03:32 thehexman Main CFD Forum 1 February 5, 2010 06:10 Young CFX 5 October 6, 2008 23:17 IoSa CFX 1 September 14, 2006 04:48 x.zhang Main CFD Forum 0 August 25, 2002 21:57