An Unconditionally Stable MacCormack Method

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Solver-in-the-Loop: Learning from Differentiable Physics to Interact with Iterative PDE-Solvers (2020, methodology): “In addition, we use a less dissipative advection scheme for the source and reference solvers [56].”
Wavelet turbulence for fluid simulation (2008, background): “The A method we used was the MacCormack method of Selle et al. [2008].”
Data-driven synthesis of smoke flows with CNN-based feature descriptors (2017, unknown): “Here, unconditionally stable methods are widely used, especially the semi-Lagrangian method [Stam 1999] and its more accurate versions [Kim et al. 2005; Selle et al. 2008].”
Explicit Time-Domain Finite-Element Method Stabilized for an Arbitrarily Large Time Step (2012, methodology): “In the FDTD based methods, a family of implicit schemes [1]–[9] such as the ADI (alternating direction implicit)-FDTD [1]–[3], the CN (Crank–Nicolson)-FDTD [4], the LOD (locally 1-D)-FDTD [5], the Laguerre-FDTD [6], and the split-step FDTD [8] methods have been developed to achieve unconditional sta”
A novel algorithm for incompressible flow using only a coarse grid projection (2010, methodology): “This can be done by using higher order methods in space, such as BFECC, QUICK, and MacCormack methods (see [Dupont and Liu 2003; Kim et al. 2005; Selle et al. 2008; Molemaker et al. 2008]), or in time, such as Runge Kutta.”