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One-implicit-direction diffusion splitting

The split step

(I - μ A_{y}) u^{n + 1/2} = u^{n}, u^{n + 1} = (I + μ A_{x}) u^{n + 1/2}

has amplification matrix

C = (I + μ A_{x}) (I - μ A_{y})^{- 1} .

On a common directional eigenvector its eigenvalue is

(1 + μ λ_{p}) / (1 - μ λ_{q})

.

Table of contents 87 2
- Stability limit of one-implicit-direction diffusion splitting One-implicit-direction diffusion splitting 37
- Unconditionally stable corrected directional diffusion splitting One-implicit-direction diffusion splitting 26

 Ancestors (8)