Analysis Essay Example p.1

Check Valves: Finite Element Analysis Wave of the Future

       Looking for complete efficiency for your finite element analysis needs? Well, look no further than the latest development in finite element software: the check valve system.

For many years, industry standard methods have been the Euler’s method and the Runge-Kutta family of methods.

Euler’s method, long considered the most basic kind of method for numerical integration for ordinary differential equations with an initial given value, is known for being numerically unstable for bigger domains, such as cars and oil refineries. For this reason, the Euler method is rarely used.

       Range-Kutta methods are a system of techniques designed for bigger domains requiring some explicit and implicit numerical analysis. They were developed around 1900 by German scientists C. Runge and M.W. Kutta. These methods include adaptive, implicit, and the most common: the fourth-order method. These methods are effective, but for larger domains, a lot of time is required to successfully complete the analysis.

       The check valve system uses a disk shaped clapper, at the end of a pivoted-arm that is forced shut by the reverse flow of the medium (natural gas, crude oil, or refined petroleum products). Through this action, the check valve provides near instantaneous protection of compressors and other upstream equipment, which helps to avoid operational downtime expenses that can be costly, in terms of productivity.

       The primary focus of creating the check valve system was to reduce pressure losses in the valve and to increase the amount of time that the valve stays fully opened in low-flow conditions, specifically during system startup. During startup phases, pipelines



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