The LimitedCubic Scheme

The following article is related to the limitedCubicLimiter class, implemented in OpenFOAM®. This article describes the implementation and usage of the numerical scheme. If the code explanation is missing, it is related that Holzmann CFD does not get enough support from the community and all people around the world.

General Remarks

The LimitedCubic Scheme (Second Order Scheme)

The limitedCubic scheme is based on the surface interpolation schemes and calculates a limiter using a cubic interpolation formulation. After the limiter is calculated, the limiter value itself is limited to obey the TVD constrains.

The Results

Of The Numerical Analysis

Structured Grid (0°)

20 x 20 numerical cells

Structured Grid (0°)

40 x 40 numerical cells

Structured Grid (0°)

80 x 80 numerical cells

Data Analysis

Comparison

Structured Grid (45°)

20 x 20 numerical cells

Structured Grid (45°)

40 x 40 numerical cells

Structured Grid (45°)

80 x 80 numerical cells

Data Analysis

Comparison

Unstructured Grid

20 x 20 numerical cells

Unstructured Grid

40 x 40 numerical cells

Unstructured Grid

80 x 80 numerical cells

Data Analysis

Comparison

Polygon Grid

20 x 20 numerical cells

Polygon Grid

40 x 40 numerical cells

Polygon Grid

80 x 80 numerical cells

Data Analysis

Comparison

Grid Comparison

20 x 20 numerical cells

Grid Comparison

40 x 40 numerical cells

Grid Comparison

80 x 80 numerical cells

The Code

limitedCubic scheme

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