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20182026
most citedNumerical Approximation of Incompressible Navier-Stokes Equations Based on an Auxiliary Energy Variable

153 citations · 180 across the 5 of their papers we have counts for

collaborators

5 papers

cs.LG2026

Zhinv: Real-time hub-height wind field reconstruction using only local sparse observations

Zongwei Zhang, Chin Chun Ooi, Lianlei Lin +8

The high proportion of wind power connected to the grid places higher demands on fine-grained knowledge of regional wind fields. Since the wind information directly obtainable in a…

physics.comp-ph2019★ 6 cited

An Energy-Stable Scheme for Incompressible Navier-Stokes Equations with Periodically Updated Coefficient Matrix

L. Lin, N. Ni, Z. Yang +1

We present an energy-stable scheme for simulating the incompressible Navier-Stokes equations based on the generalized Positive Auxiliary Variable (gPAV) framework. In the gPAV-refo…

physics.comp-ph2019★ 19 cited

A gPAV-Based Unconditionally Energy-Stable Scheme for Incompressible Flows with Outflow/Open Boundaries

L. Lin, X. Liu, S. Dong

We present an unconditionally energy-stable scheme for approximating the incompressible Navier-Stokes equations on domains with outflow/open boundaries. The scheme combines the gen…

physics.flu-dyn2018★ 153 cited

Numerical Approximation of Incompressible Navier-Stokes Equations Based on an Auxiliary Energy Variable

Lianlei Lin, Suchuan Dong

We present a numerical scheme for approximating the incompressible Navier-Stokes equations based on an auxiliary variable associated with the total system energy. By introducing a…

physics.flu-dyn2018★ 2 cited

A Family of Second-Order Energy-Stable Schemes for Cahn-Hilliard Type Equations

Suchuan Dong, Zhiguo Yang, Lianlei Lin

We focus on the numerical approximation of the Cahn-Hilliard type equations, and present a family of second-order unconditionally energy-stable schemes. By reformulating the equati…