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A Novel VOF-Type Volume-Tracking Method for Free-Surface Flows Based on Unstructured Triangular Mesh 认领 引用 被引量：8
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作者 及春宁 王元战 王建峰 《China Ocean Engineering》 SCIE EI 2005年第4期529-538,共10页
A novel VOF-type volume-tracking method for two-dimensional free-surface flows based on the unstructured triangular mesh is presented. Owing to the inherent merit of the unstructured triangular mesh in fitting curved ... A novel VOF-type volume-tracking method for two-dimensional free-surface flows based on the unstructured triangular mesh is presented. Owing to the inherent merit of the unstructured triangular mesh in fitting curved boundaries, this method can handle the free-surface problems with complex geometries accurately and directly, without introducing any complicated boundary treatment or artificial diffusion. The method solves the volume transport equation geometrically through the Modified Lagrangian-Eulerian Re-map （MLER） method, which is applied to advective fluid volumes. Moreover, the PLIC method is adopted to give a second-order reconstructed interface approximation. To validate this method, two advection tests were performed for the establishment of the accuracy and convergence rate of the solutions. Numerical results for these complex tests provide convincing evidence for the excellent solution quality and fidelity of the method. 展开更多
关键词 volume-of-fluid modified Lagrangian-Eulerian re-map （MLER） unstructured triangular mesh
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Coordinate-transformation-based fast sweeping method for the factored eikonal equation on triangular meshes 认领 引用
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作者 Xin Chen Dan-Ping Cao +1 位作者 Zhao-Lin Zhu Xin Fu 《Petroleum Science》 SCIE EI CAS CSCD 2026年第5期2545-2559,共15页
Accurate traveltime computation in complex geometries is crucial for seismological applications such as traveltime tomography and migration.However,eikonal solvers relying on finite-differences encounter the source si... Accurate traveltime computation in complex geometries is crucial for seismological applications such as traveltime tomography and migration.However,eikonal solvers relying on finite-differences encounter the source singularity,leading to numerical errors that propagate throughout the computational domain and compromise traveltime accuracy.Solving the factored eikonal equation has proven effective in addressing this singularity,but it has not yet been applied to triangular meshes,which are significant for modeling complex geological structures and irregular topographies.To address this challenge,we propose a new coordinate-transformation-based fast sweeping method(FsMcT)designed for triangular meshes.FSMCT maps each triangular element in the physical domain into a canonical reference triangle through coordinate transformation,and constructs an upwind finite-difference scheme on the reference triangle to solve the eikonal equation.The framework enables a straight forward extension to the multiplicatively/additively factored eikonal equations,overcoming the long-standing limitation that the conventional fast sweeping method(FsM)cannot solve the factored eikonal equation on triangular meshes,thereby effectively mitigating source singularity.Furthermore,FSMcT solves the eikonal equation on the reference triangle,while existing FSM typically require further subdivision of obtuse triangles.Numerical simulations demonstrate that FsMcT accurately solves the factored eikonal equation on triangular meshes,substantially reducing the errors caused by source singularity and achieving significantly higher accuracy than the conventional FSM. 展开更多
关键词 Traveltime Fast sweeping method Unstructured triangular mesh Factored eikonal equation
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