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:2512.13948 (2025)
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2026 4representative citing papers
A statistical model of rapid magnetic field fluctuations yields a smooth variational equilibrium principle for the mean field in 3D stellarators that regularizes singular current sheets.
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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Statistical equilibrium model for stellarators
A statistical model of rapid magnetic field fluctuations yields a smooth variational equilibrium principle for the mean field in 3D stellarators that regularizes singular current sheets.
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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.
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