Many low-Mach or all-Mach number codes are based on space discretizations which in combination with the first order explicit Euler method as time integration would lead to an unstable scheme. In this paper, we investigate how the choice of a suitable explicit time integration method can stabilize these schemes. We restrict ourselves to some old prototypical examples in order to find directions for further research in this field.

翻译：许多低Mach数或全Mach数的数值方案与一阶显式Euler方法相结合形成不稳定的数值方案。本文研究了通过选择合适的显式时间积分方法来稳定这些方案。我们仅限于一些老的原型示例，以寻找在这个领域进一步研究的方向。