State-of-the-art climate models simulate sea level with varying degrees of skill, depending on the specific model and the time period being considered. Overall, models have improved in their ability to simulate historical sea level changes over the past few decades, but there are still some limitations and challenges.

Strengths:

1. Long-Term Trends: Climate models generally capture the long-term trend of sea level rise observed over the past century, which is primarily driven by the thermal expansion of ocean water due to increasing temperatures and melting of glaciers and ice sheets.

2. Regional Variability: Models can simulate regional differences in sea level rise, such as higher rates in certain regions like the western Pacific and lower rates in other areas like the eastern Pacific.

3. Scenarios and Projections: Climate models are valuable tools for projecting future sea level rise under different emission scenarios and climate conditions. They provide insights into the potential range of sea level change and help inform coastal planning and adaptation strategies.

Limitations and Challenges:

1. Uncertainty in Ice Sheet Processes: Simulating the behavior of large ice sheets, particularly in Antarctica, is complex and uncertain. Models have difficulty accurately representing the processes involved in ice sheet melting and collapse, which can affect the projections of sea level rise.

2. Natural Variability: Climate models may not fully capture natural climate variability, such as decadal fluctuations or extreme events like El Niño-Southern Oscillation (ENSO), which can influence sea level on shorter timescales.

3. Limited Resolution: Computational limitations often result in models having relatively coarse spatial resolution, which can lead to challenges in simulating sea level changes in coastal areas influenced by local factors like tides, storm surges, and coastal morphology.

4. Feedback Mechanisms: Feedback mechanisms between the climate system and sea level are complex and not always well represented in models. For example, changes in ocean circulation, changes in surface winds, and variations in sea ice cover can influence sea level, and their accurate simulation remains a challenge.

5. Data Availability and Assimilation: The availability of high-quality observational data for sea level, ocean temperatures, and ice sheet changes is crucial for model calibration and validation. Incomplete or uncertain data can affect the model simulations.

Despite these limitations, state-of-the-art climate models continue to improve with advancements in scientific understanding, computational power, and data availability. CMIP6 (Coupled Model Intercomparison Project Phase 6), the latest generation of climate models, represents a significant step forward in sea level simulations and provides a more comprehensive assessment of future sea level change under different scenarios.