TY - JOUR
T1 - A Conservative Enforcing Positivity-Preserving Algorithm for Diffusion Scheme on General Meshes
AU - F.-J. Cao, Y.-Z. Yao, Y.-L. Yu & G.-W. Yuan
JO - International Journal of Numerical Analysis and Modeling
VL - 5
SP - 739
EP - 752
PY - 2016
DA - 2016/09
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/462.html
KW - positivity correction, conservation, nonlinear diffusion equation, general mesh.
AB - <p style="text-align: justify;">For a class of diffusion schemes not satisfying the property of positivity-preserving, we
propose an enforcing positivity algorithm. It is locally conservative and easy to be implemented in
existing codes. Moreover, this algorithm can be performed on both structured and unstructured
meshes. Numerical experiments demonstrate that in terms of $L_2$ error and conservation this
algorithm is much better than the trick of directly enforcing the negative values to zero (ENZ),
which has been used in applications, meanwhile, in terms of $L_∞$ error it is approximate to ENZ
and CEPA repairing algorithms.</p>