A thermodynamic extension of information geometric regularization for compressible flows introduces an anisotropic stress tensor and an elliptic equation that mitigates cusp singularities in simulations while preserving inviscid benefits.
arXiv preprint arXiv:2411.15121 (2024)
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Information geometric regularization integrated into finite volume methods handles shocks in Navier-Stokes-like problems with accuracy competitive to WENO and LAD schemes while using fewer operations per step.
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Thermodynamically Constrained Information Geometric Regularization for Compressible Flows
A thermodynamic extension of information geometric regularization for compressible flows introduces an anisotropic stress tensor and an elliptic equation that mitigates cusp singularities in simulations while preserving inviscid benefits.
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Shocks without shock capturing: Information geometric regularization of finite volume methods for Navier--Stokes-like problems
Information geometric regularization integrated into finite volume methods handles shocks in Navier-Stokes-like problems with accuracy competitive to WENO and LAD schemes while using fewer operations per step.
- A Compression-Directional Entropic Stress Method for Shock-Regularized Compressible Flow