A new methodology of turbulence modeling is proposed by combining a statistical theory [T. Ariki, Phys. Fluids 31, 065104 (2019)] and the Reynolds-stress-root method Rev. E 92, 053010 (2015)], aiming at realizing practical model wider applicability with help theoretical support. The resultant integrates, same time, following five features: coordinate covariance, realizability condition, near-wa...