TY - JOUR

T1 - Multi-Mesh-Scale approximation of thin geophysical mass flows on complex topographies

AU - Tai, Yih Chin

AU - Vides, Jeaniffer

AU - Nkonga, Boniface

AU - Kuo, Chih Yu

N1 - Funding Information:
We are grateful to the Ecological Soil and Water Conservation Research Center at National Cheng Kung University for the satellite image. Part of the results were conducted during the visit of J. Vides and B. Nkonga to the Department of Hydraulics and Ocean Engineering, NCKU, Taiwan, and the visit of Y.C. Tai and C.Y. Kuo to the University of Nice Côte d’Azur (UCA) in the framework of the Inria-MOST Associate team program AMoSS and funding MOST-105-2911-I-006-502. B. Nkonga and J. Vides acknowledge the warm hospitality of the NCTS at NTU Taipei. Y.C. Tai was partially supported by MOST-106-2221-E-006-056.
Funding Information:
We are grateful to the Ecological Soil and Water Conservation Research Center at National Cheng Kung University for the satellite image. Part of the results were conducted during the visit of J. Vides and B. Nkonga to the Department of Hydraulics and Ocean Engineering, NCKU, Taiwan, and the visit of Y.C. Tai and C.Y. Kuo to the University of Nice C?te d'Azur (UCA) in the framework of the Inria-MOST Associate team program AMoSS and funding MOST-105-2911-I-006-502. B. Nkonga and J. Vides acknowledge the warm hospitality of the NCTS at NTU Taipei. Y.C. Tai was partially supported by MOST-106-2221-E-006-056.
Publisher Copyright:
© 2021 Global-Science Press

PY - 2020/11

Y1 - 2020/11

N2 - This paper is devoted to a multi-mesh-scale approach for describing the dynamic behaviors of thin geophysical mass flows on complex topographies. Because the topographic surfaces are generally non-trivially curved, we introduce an appropriate local coordinate system for describing the flow behaviors in an efficient way. The complex surfaces are supposed to be composed of a finite number of triangle elements. Due to the unequal orientation of the triangular elements, the distinct flux directions add to the complexity of solving the Riemann problems at the boundaries of the triangular elements. Hence, a vertex-centered cell system is introduced for computing the evolution of the physical quantities, where the cell boundaries lie within the triangles and the conventional Riemann solvers can be applied. Consequently, there are two mesh scales: the element scale for the local topographic mapping and the vertex-centered cell scale for the evolution of the physical quantities. The final scheme is completed by employing the HLL-approach for computing the numerical flux at the interfaces. Three numerical examples and one application to a large-scale landslide are conducted to examine the performance of the proposed approach as well as to illustrate its capability in describing the shallow flows on complex topographies.

AB - This paper is devoted to a multi-mesh-scale approach for describing the dynamic behaviors of thin geophysical mass flows on complex topographies. Because the topographic surfaces are generally non-trivially curved, we introduce an appropriate local coordinate system for describing the flow behaviors in an efficient way. The complex surfaces are supposed to be composed of a finite number of triangle elements. Due to the unequal orientation of the triangular elements, the distinct flux directions add to the complexity of solving the Riemann problems at the boundaries of the triangular elements. Hence, a vertex-centered cell system is introduced for computing the evolution of the physical quantities, where the cell boundaries lie within the triangles and the conventional Riemann solvers can be applied. Consequently, there are two mesh scales: the element scale for the local topographic mapping and the vertex-centered cell scale for the evolution of the physical quantities. The final scheme is completed by employing the HLL-approach for computing the numerical flux at the interfaces. Three numerical examples and one application to a large-scale landslide are conducted to examine the performance of the proposed approach as well as to illustrate its capability in describing the shallow flows on complex topographies.

UR - http://www.scopus.com/inward/record.url?scp=85106101372&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85106101372&partnerID=8YFLogxK

U2 - 10.4208/CICP.OA-2019-0184

DO - 10.4208/CICP.OA-2019-0184

M3 - Article

AN - SCOPUS:85106101372

SN - 1815-2406

VL - 29

SP - 148

EP - 185

JO - Communications in Computational Physics

JF - Communications in Computational Physics

IS - 1

ER -