Preface / Matthew W. Hecht and Hiroyasu Hasumi -- Introduction : Ocean modeling--eddy or not / Frank O. Bryan -- The nature and consequences of oceanic eddies / James C. McWilliams -- Submesoscale processes and dynamics / Leif N. Thomas, Amit Tandon, and Amala Mahadevan -- Gulf Stream separation in numerical ocean models / Eric P. Chassignet and David P. Marshall -- Eddy-resolving modeling of overflows / S. Legg, L. Jackson, and R.W. Halberg -- High-frequency winds and eddy-resolving models / Patrice Klein -- Resolution dependence of eddy fluxes / Yukio Tanaka and Hiroyasu Hasumi -- Eddies and upper-ocean nutrient supply / A. Oschlies -- Eddies in eastern boundary subtropical upwelling systems / X. Capet ... [et al.] -- The fidelity of ocean models with explicit eddies / Julie McClean ... [et al.] -- Common success and failure in simulating the Pacific surface currents shared by four high-resolution ocean models / Tatsuo Suzuki ... [et al.] -- Eddies in numerical models of the Southern Ocean / V.O. Ivchenko, S. Danilov and D. Olbers -- High-resolution Indian Ocean simulations--recent advances and issues from OFES / Yukio Masumoto, Yushi Morioka, and Hideharu Sasaki -- Towards a physical understanding of the North Atlantic : a review of model studies in an eddying regime / Matthew W. Hecht and Richard D. Smith -- Towards eddy-resolving models of the Arctic Ocean / Wieslaw Maslowski ... [et al.] -- Pacific upper ocean response to global warming--climate modeling in an eddying ocean regime / Takashi T. Sakamoto and Hiroyasu Hasumi -- Formulating the equations of ocean models / Stephen M. Griffies and Alistair J. Adcroft -- Can large eddy simulation techniques improve mesoscale rich ocean models? / B. Fox-Kemper and D. Menemenlis -- Lateral mixing in the eddying regime and a new broad-ranging formulation / Matthew W. Hecht ... [et al.] -- Unstructured adaptive meshes for ocean modeling / Matthew D. Piggott ... [et al.]