  We study the production of relic gravitational waves (GWs) in turbulent
hypermagnetic fields (HMFs) in the symmetric phase of the early universe before
the electroweak phase transition (EWPT). The noise of HMFs is modeled by the
analog of the magnetic hydrodynamics turbulence. The evolution of HMFs is
driven by the analogs of the chiral magnetic effect and the Adler anomalies in
the presence of the nonzero asymmetries of leptons and Higgs bosons. We track
the evolution of the energy density of GWs from 10 TeV down to EWPT and analyze
its dependence on the parameters of the system. We also discuss the possibility
to observe the predicted GW background by the current GW detectors.
