Resurrection of the Payne-Whitham pressure?

Benjamin Seibold
Temple University

This talk attempts to encourage traffic modelers to again consider Payne-Whitham pressure terms in second-order macroscopic models. We will show that (a) a density-based pressure in general does not produce solution behavior as bad as commonly believed; (b) traffic data does not appear to favor velocity-based pressures over density-based ones; and (c) density-based pressures in fact arise quite naturally when studying macroscopic limits of microscopic traffic descriptions.

Presentation (PDF File)

Back to Workshop I: Mathematical Foundations of Traffic