Currents are basically matter flowing under the influence of internal energy. Convection expresses the movement of fluids upon receiving energy. Cells are a collection of fluid masses of similar properties.
Now, convection currents affect the outer core of the earth which is mainly fluid(liquid). This layer is constantly burning causing it to move and flow(convection). Fluids don't have an exactly uniform temperature through the volume they occupy.
This is why the fluids in the outer layer will have distinct temperatures within the whole area. The will form convection cells. This energy is responsible for the magnetic forces of the earth. As a result it affects the moon's attraction to earth which would definitely have a proportional effect on our ocean's sea level. Since the ocean is the main climate driver for the earth and it's meteorological variations, climate is directly affected by the Earth's outer core.
Convection currents occur when a reservoir of fluid is heated at the bottom, and allowed to cool at the top. Heat causes the fluid to expand, decreasing its density. If there is cooler material on top, it will be more compact and therefore, will sink to the bottom. The heated material will rise to the top. When water is heated, convection causes the water at the bottom to expand and become lighter. The heated molecules then rise to the top, which causes the cooler molecules to sink to the bottom. These cooler molecules then become heated. This process is repeated until all the water is the same temperature. Convection is a type of heat transfer that can only happen in liquids and gases, because it involves those liquids or gases physically moving. Convection happens when there is a difference in temperature between two parts of a liquid or gas. The hot part of a fluid rises, and the cooler part sinks. Convection currents tend to move fluid or gas particles from one place to another. These are created as a result of the differences occurring within the densities and temperature of a specific gas or fluid. Convection is one of the forms of heat transfer, of which the other two are radiation and conduction. Convective heat transfer refers to the movement of thermal energy within fluids. Convection occurs due to the bulk movement of molecules within the liquid, gas, or liquid-gas mixture. Convection is the movement of heat by a fluid such as water or air. The fluid (liquid or gas) moves from one location to another, transferring heat along with it. This movement of a mass of heated water or air is called a current. Radiation is the transfer of heat by electromagnetic waves. Convection currents in the outer core are due to heat from the even hotter inner core. The heat that keeps the outer core from solidifying is produced by the breakdown of radioactive elements in the inner core. Convection currents do not occur in the inner core. This is because the material in the inner core is under so much pressure that it is solid even at the high temperatures experienced there. Solid materials do not undergo convection because their particles are too close together to allow it.The temperature difference between the upper and lower boundaries of the mantle requires heat transfer to occur. While conduction seems the more obvious method for heat transfer, convection also occurs in the mantle. The warmer, less dense rock material near the core slowly moves upward. Convection within the atmosphere can often be observed in our weather. As the sun heats the Earth's surface, the air above it heats up and rises. If conditions allow, this air can continue to rise, cooling as it does so, forming Cumulus clouds.