Integrated Research on Gravity and Fluid Dynamics [Part 1, v1.1: The Fundamental Framework & Non-linear Drag Suppression]

Abstract

This study presents H.U.G.G.E.R (Heuristic Universal Grid & Gravity Equilibrium Rendering Tensor) v1.1, a macroscopic fluid dynamics framework that addresses the exponential computational explosion and topological coordinate singularities inherent in standard Navier-Stokes-based 3D atmospheric simulations. By introducing a Rank-4 Kakeya projection tensor coupled with a dimensionally calibrated angular momentum flux coefficient, the computational load of 3D rotational systems is linearly compressed. Building upon the v1.0 foundational framework, this iteration introduces a non-linear drag suppression tensor to actively govern equatorial turbulence within idealized planetary circulation models. By enforcing morphological stability via an asymptotic limit pressure tensor, this paper provides a rigorous mathematical methodology that reduces the numerical stiffness of complex fluid analysis, establishing a definitive lower-bound fluid equilibrium constant.