MultiDimensionalLimiter vs. 1D Limiter

sanjeev_adhikari · January 16, 2021, 11:35

Hello all,
Why venkatakrishna limiter is called MultiDimensional Limiter? What's the difference with 1D Limiter (vanLeer, vanAlbada, Minmod limiter )? I know venkatakrishna limiter is used for unstructured grid and also it uses these 1D Limiter. Can it be used for structured grid or MUSCL limiter is the better ?

Thank you everyone in advance!!!

j.lisanti · January 17, 2021, 18:16

I recommend reading the following:

Kim, Sung-Eun. "A multi-dimensional linear reconstruction scheme for arbitrary unstructured mesh." 16th AIAA Computational Fluid Dynamics Conference. 2003.

If my understanding is correct, using a multi-dimensional limiter reduces numerical dissipation (limiting slopes at each cell face rather than all faces equally).

January 16, 2021, 11:35	MultiDimensionalLimiter vs. 1D Limiter	#1
sanjeev_adhikari New Member sanjeev adhikari Join Date: May 2018 Posts: 13 Rep Power: 8	Hello all, Why venkatakrishna limiter is called MultiDimensional Limiter? What's the difference with 1D Limiter (vanLeer, vanAlbada, Minmod limiter )? I know venkatakrishna limiter is used for unstructured grid and also it uses these 1D Limiter. Can it be used for structured grid or MUSCL limiter is the better ? Thank you everyone in advance!!!

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January 17, 2021, 18:16		#2
j.lisanti New Member Joel C Lisanti Join Date: Feb 2013 Posts: 5 Rep Power: 13	I recommend reading the following: Kim, Sung-Eun. "A multi-dimensional linear reconstruction scheme for arbitrary unstructured mesh." 16th AIAA Computational Fluid Dynamics Conference. 2003. If my understanding is correct, using a multi-dimensional limiter reduces numerical dissipation (limiting slopes at each cell face rather than all faces equally).