|
[Sponsors] |
March 22, 2006, 08:48 |
1.order vs. 2.order
|
#1 |
Guest
Posts: n/a
|
It is (to my belief) generally known and accepted that 2.order discretization is preferred to 1.order discretization. But I cannot recall reading any books or articles testing this. Can anyone please help me with references?
|
|
March 22, 2006, 09:02 |
Re: 1.order vs. 2.order
|
#2 |
Guest
Posts: n/a
|
see the reference in "Spectral/hp Element Methods for Computational Fluid Dynamics" by George Em Karniadakis, Spencer J. Sherwin
|
|
March 23, 2006, 23:28 |
Re: 1.order vs. 2.order
|
#3 |
Guest
Posts: n/a
|
First order discretization is usually dissipative and 2 order tend to be more dispersive.
Computational fluid mechanics and heat transfer - pletcher et .. is a good read on this topic in the context of FDM. |
|
March 25, 2006, 11:46 |
Re: 1.order vs. 2.order
|
#4 |
Guest
Posts: n/a
|
error (l2) decreases by two times for 2 nd order scheme as compared to first order scheme on refining the grid
|
|
March 28, 2006, 06:33 |
Re: 1.order vs. 2.order
|
#5 |
Guest
Posts: n/a
|
> error (l2) decreases by two times for 2 nd order scheme as compared to first order scheme on refining the grid
Furthermore, what are called first order schemes are generally schemes based on a constant reconstruction which are not consistent on non-uniform meshes. |
|
|
|