KMS Of Academy of mathematics and systems sciences, CAS
| A Positivity-Preserving Finite Volume Scheme with Least Square Interpolation for 3D Anisotropic Diffusion Equation | |
| Xie, Hui1; Xu, Xuejun2,3; Zhai, Chuanlei1; Yong, Heng1 | |
| 2021-12-01 | |
| Source Publication | JOURNAL OF SCIENTIFIC COMPUTING
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| ISSN | 0885-7474 |
| Volume | 89Issue:3Pages:25 |
| Abstract | In this paper, a new nonlinear finite volume scheme preserving positivity for 3D anisotropic diffusion equation is proposed. A distinct feature of our new scheme is that the auxiliary vertex unknowns appearing in the nonlinear two-point flux approximation are interpolated by the least-square method combined with the so-called correction function. The correction function is local, and only solved when the coefficient discontinuity occurs. Compared with other existing 3D interpolation formulas, our interpolation formula is designed for the general polyhedron mesh and coefficient discontinuity with lower and adaptive computational complexity. The scheme is proven to be positivity-preserving. Numerical examples are presented to demonstrate the second-order accuracy and positivity-preserving property for various anisotropic diffusion problems on the distorted meshes. |
| Keyword | Anisotropic diffusion Positivity Vertex unknowns Least square |
| DOI | 10.1007/s10915-021-01629-2 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11901043,11671048,11671302,11771055] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000707711400001 |
| Publisher | SPRINGER/PLENUM PUBLISHERS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59435 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yong, Heng |
| Affiliation | 1.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, POB 2719, Beijing 100190, Peoples R China 3.Tongji Univ, Sch Math Sci, Shanghai, Peoples R China |
| Recommended Citation GB/T 7714 | Xie, Hui,Xu, Xuejun,Zhai, Chuanlei,et al. A Positivity-Preserving Finite Volume Scheme with Least Square Interpolation for 3D Anisotropic Diffusion Equation[J]. JOURNAL OF SCIENTIFIC COMPUTING,2021,89(3):25. |
| APA | Xie, Hui,Xu, Xuejun,Zhai, Chuanlei,&Yong, Heng.(2021).A Positivity-Preserving Finite Volume Scheme with Least Square Interpolation for 3D Anisotropic Diffusion Equation.JOURNAL OF SCIENTIFIC COMPUTING,89(3),25. |
| MLA | Xie, Hui,et al."A Positivity-Preserving Finite Volume Scheme with Least Square Interpolation for 3D Anisotropic Diffusion Equation".JOURNAL OF SCIENTIFIC COMPUTING 89.3(2021):25. |
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