Hello,

what do we mean by Pressure based solver and Density based solver? what are the pros and cons of it?

Is there any paper or journal or book to read about these in detail?

For Hypersonic Compressible Flows , which solver is useful?

Thanks,

Xobile

I also want to know the difference...will be glad if some one can make it clear.

Although I do know that density based solvers are more accurate for supersonic flows, while pressure based solvers are more accurate for incompressible subsonic flows. So for your application, density based solvers should be used.

PL. TELL ME THE RELATIONSHIP BETWEEN THE PRESSURE, HEAD,PIPE DIA & LENGTH OF PIPE. FOR EXAMPLE: INLET WATER PRESSURE TO PIPE IS 10 BAR, PIPE DIA-3/4",PIPE LENGTH-600MTR, HEAD 2M. HOW MUCH COULD BE THE OUTLET WATER PRSSURE AT THE OTHER END OF PIPE?

[johnfriend]

Historically speaking, the pressure-based approach was developed for low-speed incompressible flows, while the density-based approach was mainly used for high-speed compressible flows. However, recently both methods have been extended and reformulated to solve and operate for a wide range of flow conditions beyond their traditional or original intent."
"In both methods the velocity field is obtained from the momentum equations. In the density-based approach, the continuity equation is used to obtain the density field while the pressure field is determined from the equation of state."
"On the other hand, in the pressure-based approach, the pressure field is extracted by solving a pressure or pressure correction equation which is obtained by manipulating continuity and momentum equations."
The pressure-based solver traditionally has been used for incompressible and mildly compressible flows. The density-based approach, on the other hand, was originally designed for high-speed compressible flows. Both approaches are now applicable to a broad range of flows (from incompressible to highly compressible), but the origins of the density-based formulation may give it an accuracy (i.e. shock resolution) advantage over the pressure-based solver for high-speed compressible flows."


refer: http://courses.cit.cornell.edu/fluent/wedge/step4.htm

[RRD]

How do you quantify Highspeed?

[vinayender]

To add to Jhonfriend point's

In incompressible flows, pressure is not a function of density and temperature ( or a weak function of for for very low mach flows).

In compressible flows, pressure is a function of both density and temperature and is determined by state equation (as John metioned) and hence the alorithm you use should respect this physics and hence we have a different algorithm for both regioms of flows.

Normally for Mach no greater than 0.3 can be taken as the barrior for compressible and incompressible flows.

[JMern]

Coupled pressure-based solvers can be used in compressible flows and can sometimes be more efficient if there is a large region of low Re flow in the domain.

[leflix]

Originally Posted by johnfriend

Historically speaking, the pressure-based approach was developed for low-speed incompressible flows, while the density-based approach was mainly used for high-speed compressible flows. However, recently both methods have been extended and reformulated to solve and operate for a wide range of flow conditions beyond their traditional or original intent."
"In both methods the velocity field is obtained from the momentum equations. In the density-based approach, the continuity equation is used to obtain the density field while the pressure field is determined from the equation of state."
"On the other hand, in the pressure-based approach, the pressure field is extracted by solving a pressure or pressure correction equation which is obtained by manipulating continuity and momentum equations."
The pressure-based solver traditionally has been used for incompressible and mildly compressible flows. The density-based approach, on the other hand, was originally designed for high-speed compressible flows. Both approaches are now applicable to a broad range of flows (from incompressible to highly compressible), but the origins of the density-based formulation may give it an accuracy (i.e. shock resolution) advantage over the pressure-based solver for high-speed compressible flows."


refer: http://courses.cit.cornell.edu/fluent/wedge/step4.htm

clear and perfect!!!! I have learned something tonight !
Thanx Johnfriend

[leflix]

Originally Posted by G.Ravanan
;31764

PL. TELL ME THE RELATIONSHIP BETWEEN THE PRESSURE, HEAD,PIPE DIA & LENGTH OF PIPE. FOR EXAMPLE: INLET WATER PRESSURE TO PIPE IS 10 BAR, PIPE DIA-3/4",PIPE LENGTH-600MTR, HEAD 2M. HOW MUCH COULD BE THE OUTLET WATER PRSSURE AT THE OTHER END OF PIPE?

I guess you are not in the right section to ask for your question.Your post has nothing to do with the original post of Xobile
Anyway, first compute the Reynolds number for your problem, then take the Moody's diagram and obtain the pressure loss coefficient lambda for your pipe.
If P0 is the pressure at inlet,then the pressure at outlet will be P0 -(lamba*L*Rho V²)/(2D) where D is the diameter, L the lenhht of your pipe, Rho the density, V the magnitude of velocity in the pipe.
This is a rough result.