  We extend to a theory of nonassociative geometric flows a string-inspired
model of nonassociative gravity determined by star product and R-flux
deformations. The nonassociative Ricci tensor and curvature scalar defined by
(non) symmetric metric structures and generalized (non) linear connections are
used for defining nonassociative versions of Grigori Perelman F- and
W-functionals for Ricci flows and computing associated thermodynamic variables.
We develop and apply the anholonomic frame and connection deformation method,
AFCDM, which allows us to construct exact and parametric solutions describing
nonassociative geometric flow evolution scenarios and modified Ricci soliton
configurations with quasi-stationary generic off-diagonal metrics. There are
provided explicit examples of solutions modelling geometric and statistical
thermodynamic evolution on a temperature-like parameter of modified black hole
configurations encoding nonassociative star-product and R-flux deformation
data. Further perspectives of the paper are motivated by nonassociative
off-diagonal geometric flow extensions of the swampland program, related
conjectures and claims on geometric and physical properties of new classes of
quasi-stationary Ricci flow and black hole solutions.
