# On the scaling of entropy viscosity in high order methods

## TL;DR

This paper examines how different scaling choices affect the entropy viscosity method's effectiveness in high order numerical schemes for shock problems, providing insights into optimal viscosity scaling strategies.

## Contribution

It introduces a detailed analysis of entropy viscosity scaling and compares the performance of two scaling approaches through illustrative examples.

## Key findings

- Scaling choice significantly impacts viscosity size and shock capturing quality
- Different scalings lead to varied numerical stability and accuracy
- Guidelines for selecting appropriate entropy viscosity scaling are discussed

## Abstract

In this work, we outline the entropy viscosity method and discuss how the choice of scaling influences the size of viscosity for a simple shock problem. We present examples to illustrate the performance of the entropy viscosity method under two distinct scalings.