A Positivity-Preserving Finite Volume Scheme with Least Square Interpolation for 3D Anisotropic Diffusion Equation
文献类型：期刊论文
| 作者 | Xie, Hui1; Xu, Xuejun2,3; Zhai, Chuanlei1; Yong, Heng1 |
| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
 |
| 出版日期 | 2021-12-01 |
| 卷号 | 89期号:3页码:25 |
| 关键词 | Anisotropic diffusion Positivity Vertex unknowns Least square |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-021-01629-2 |
| 英文摘要 | 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. |
| 资助项目 | National Natural Science Foundation of China[11901043,11671048,11671302,11771055] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000707711400001 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59434]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yong, Heng |
| 作者单位 | 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 |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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