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physics.comp-ph2025
LaPON: A Lagrange's-mean-value-theorem-inspired operator network for solving PDEs and its application on NSE
Siwen Zhang, Xizeng Zhao, Zhengzhi Deng +4
Accelerating the solution of nonlinear partial differential equations (PDEs) while maintaining accuracy at coarse spatiotemporal resolution remains a key challenge in scientific co…
physics.comp-ph2020
Some improvements on Moment-of-Fluid method in 3D rectangular hexahedrons
Zhouteng Ye, Mark Sussman, Xizeng Zhao
The moment-of-fluid method (MOF) is an extension of the volume-of-fluid method with piecewise linear interface construction (VOF-PLIC). In MOF reconstruction, the optimized normal…