Introduction: Ocean Modeling-Eddy or Not

Mesoscale eddies are a ubiquitous feature of the ocean circulation, yet are absent from the ocean components of nearly every contemporary climate system model. Progress in ocean modeling over the last decade and advances in high performance computing will soon remedy this dichotomy. Eddy-resolving ocean models are bringing new insights into the physical processes operating in the ocean and will soon find applications in Earth system modeling and weather forecasting. The chapters in this volume provide surveys of the formulation of these models, their ability to simulate the present state of the ocean, and the challenges that remain in refining their accuracy and precision.