A new semi-Lagrangian scheme for the polyatomic ESBGK model that is asymptotic preserving, stiffly accurate, and converges to Navier-Stokes with correct coefficients in the continuum limit.
Implicit–Explicit Runge–Kutta Schemes and Applications to Hyperbolic Systems with Relaxation
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Implicit velocity correction schemes extend the stable time step by up to two orders of magnitude and reduce overall time-to-solution by up to a factor of eleven for high-Re incompressible flow simulations, with only minor accuracy loss up to 20 times the explicit limit.
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Implicit Velocity Correction Schemes for Scale-Resolving Simulations of Incompressible Flow: Stability, Accuracy, and Performance
Implicit velocity correction schemes extend the stable time step by up to two orders of magnitude and reduce overall time-to-solution by up to a factor of eleven for high-Re incompressible flow simulations, with only minor accuracy loss up to 20 times the explicit limit.