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There are several "standard" ways to improve volumetric efficiency. The most common is to use a larger number of valves, which cover a greater area of the cylinder head. Automobile engines typically have 4 valves per cylinder today for this reason. Many "high performance" cars in the 1970s used carefully arranged air intakes and "tuned" exhaust systems to "push" air into and out of the cylinders due to airflow over the engine. A more modern technique, variable valve timing, attempts to address changes in volumetric efficiency with changes in RPM of the engine -- at higher RPM the engine needs more time of a single cycle to move the charge out of the engine.
More "radical" solutions include the sleeve valve design, in which the valves are replaced outright with a rotating sleeve around the piston, or alternately a rotating sleeve under the cylinder head. In this system the ports can be as large as you need, up to that of the entire cyclinder wall. However there is a practical upper limit due to the strength of the sleeve, at larger sizes the pressure inside the cylinder can "pop" the sleeve if the port is too large.
Also see: supercharger, turbo charger, engine tuning.
engine technology