Artificial Viscosity -- Then and Now

TL;DR

This paper reviews the historical development and current understanding of artificial viscosity, emphasizing its physical basis and potential for future improvements in numerical simulations.

Contribution

It provides a comprehensive historical account and discusses recent insights into the physical foundations of artificial viscosity, proposing new directions for research.

Findings

Historical overview of artificial viscosity development

Recent work linking artificial viscosity to physical principles

Suggestions for future research directions

Abstract

In this paper, we recount the history of artificial viscosity, beginning with its origin in previously unpublished and unavailable documents, continuing on to current research and ending with recent work describing its physical basis that suggests new directions for improvement. We focus on the underlying ideas that recognize the finiteness of scale and of measurement.