Simulating the Tibetan Plateau Summer Monsoon
Duan, A., Hu, J. and Xiao, Z. 2013. The Tibetan Plateau summer monsoon in the CMIP5 simulations. Journal of Climate 26: 7747-7766.
In an effort to answer this question, "extensive integrations under phase 5 of the Coupled Model Intercomparison Project (CMIP5) historical scenarios from 15 CGCMs and Atmospheric Model Intercomparison Project (AMIP) runs from eight atmospheric general circulation models (AGCMs)" were used by Duan et al. "to evaluate the performance of these GCMs," focusing on "the climatology, annual cycle, inter-annual variability, and trend of the TPSM [Tibetan Plateau summer monsoon]." Based on their evaluation the three Chinese researchers report that (1) "the large bias associated with precipitation [a] intensity and [b] patterns remains," that (2) "regarding long-term trends, most models overestimated [c] the amplitude of the tropospheric warming and [d] the declining trend in the surface heat low between 1979 and 2005," and that (3) "the observed cooling trend in the upper troposphere and  the decline of the Tibetan high were not reproduced by most models."
In the parting words of Duan et al., as expressed in the concluding sentence of their paper's abstract, "there is still significant scope for improving GCM simulations of regional climate change." But with so little improvement over the prior seven years, a significant advancement may still not be realized any time soon.
Zhou, T.J. and Yu, R.C. 2006. Twentieth-century surface air temperature over China and the globe simulated by coupled climate models. Journal of Climate 19: 5843-5858.