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Forum: OpenFOAM

September 8, 2014, 04:38

Replies: 17

References for the limitedLinear scheme

Views: 9,705

Posted By Marvin_Rauch

Some TVD/NVD schemes require a coefficient ψ,0 ≤...

Some TVD/NVD schemes require a coefficient ψ,0 ≤ ψ ≤ 1 where ψ = 1 corresponds to TVD conformance, usually giving best convergence and ψ = 0 corresponds to best accuracy. Running with ψ = 1 is...

Forum: OpenFOAM

July 24, 2014, 05:20

Replies: 17

References for the limitedLinear scheme

Views: 9,705

Posted By Marvin_Rauch

Tushar, Looking at Versteeg p. 168: Sweby...

Tushar,
Looking at Versteeg p. 168:
Sweby (1984) has given necessary and sufficient conditions for a scheme to be TVD in terms of the r − ψ relationship:
• If 0<r<1 the upper limit is ψ(r)=2r, so...

Forum: OpenFOAM

July 17, 2014, 04:52

Replies: 17

References for the limitedLinear scheme

Views: 9,705

Posted By Marvin_Rauch

In the OpenFOAM Users Guide limitedLinear is said...

In the OpenFOAM Users Guide limitedLinear is said to be a TVD scheme. But by definition it is only TVD for k =1, otherwise it is not in the region of the psi -r diagram. Did I miss something or is...

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