2023
DOI: 10.1051/m2an/2023071
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On the convergence of an IEQ-based first-order semi-discrete scheme for the Beris-Edwards system

Franziska Weber,
Yukun Yue

Abstract: We present a convergence analysis of an unconditionally energy-stable first-order semi-discrete numerical scheme designed for a hydrodynamic Q-tensor model, the so-called Beris-Edwards system, based on the Invariant Energy Quadratization Method (IEQ). The model consists of the Navier-Stokes equations for the fluid flow, coupled to the Q-tensor gradient flow describing the liquid crystal molecule alignment. By using the Invariant Energy Quadratization Method, we obtain a linearly implicit scheme, accelerating t… Show more

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