High order convective schemes
Hi,
Can anyone suggest a reliable high order scheme for convective term of a tensor equation in which convective term is much more dominated? I examine upwind, limitedLinear, Gamma, SFCD, QUICK and Minmod but the results change with increasing grid resolution and it becomes unreasonable for my simple 2D geometry. :confused: Thanks in advance, 
Hilary and Henry Weller implemented new polynomialfit higherorder schemes (quadraticLinearFit, quadraticLinearPureUpwindFit, among others) in OF versions >= 1.6. For further details on the discretisation schemes see their papers:
http://www.met.reading.ac.uk/~sws02hs/publications/ http://www.met.reading.ac.uk/~sws02hs/AtmosFOAM/ However, spatial discretisation in OF is formally based on Taylor series including only the first two terms of the expansion. So I think that we are limited to 2nd order accuray in space. Recall that higher order schemes are difficult to be implemented in arbitrary polyhedral meshes. Regards, patricio. 
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Thanks for your reply; certainly I'll check these schemes but before I take a look over these paper, do you know about their order or stability? BTW, we have also SFCD as a second order scheme with good stability but it is said that it's very diffusive; do you have any experience with? because my convective term is very large so I prefer more diffusive schemes. Bests, 
Hi Amir, the schemes are high order with exponent very close to 2.00. Curious, for convective dominated problem on simple geometries I usually prefer low diffusive WENO schemes (order >=5). Best wishes, patricio

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C.W. Shu, High order weighted essentially nonoscillatory schemes for convection dominated problems , SIAM Review, v51 (2009), pp.82126. 
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Hi, what's your experience, among these higher order schemes, quadraticLinearFit, quadraticLinearPureUpwindFit, MUSCL, etc. which works better if I want to use higher order schemes for better accuracy? Say my flow is convection dominated.
Thanks a lot! 
Hello,
I hope itīs correct to ask this question here. In Jasakīs PhD thesis I found the following sentences: Quote:
Can anyone explain me why it is so? Thanks Idefix 
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