...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Computational Physics >An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity
【24h】

An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity

机译：具有重力的欧拉方程的全速二阶均衡IMEX弛豫方案

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

We present an implicit-explicit well-balanced finite volume scheme for the Euler equations with a gravitational source term which is able to deal also with low Mach flows. To visualize the different scales we use the non-dimensionalized equations on which we apply a pressure splitting and a Suliciu relaxation. On the resulting model, we apply a splitting of the flux into a linear implicit and an non-linear explicit part that leads to a scale independent time-step. The explicit step consists of a Godunov type method based on an approximative Riemann solver where the source term is included in the flux formulation. We develop the method for a first order scheme and give an extension to second order. Both schemes are designed to be well-balanced, preserve the positivity of density and internal energy and have a scale independent diffusion. We give the low Mach limit equations for well-prepared data and show that the scheme is asymptotic preserving. These properties are numerically validated by various test cases. (C) 2020 Elsevier Inc. All rights reserved.
机译：我们为具有引力源术语的欧拉方程提出了隐含的显式均衡的有限体积方案，其能够与低马赫流量处理。为了可视化不同的尺度，我们使用我们在其中施加压力分裂和硫毛松弛的非尺寸化方程。在生成的模型上，我们将通量的拆分施加到线性隐式和非线性显式部分中，导致刻度独立的时间步骤。显式步骤包括基于近似Riemann求解器的Lodunov类型方法组成，其中源期限包括在助焊剂配方中。我们开发了第一个订单方案的方法，并为二阶提供扩展。这两种方案都设计成均衡，保持密度和内部能量的积极性，并具有稳定的独立扩散。我们为良好准备的数据提供低Mach极限方程，并表明该方案是渐近保存。这些属性通过各种测试用例进行了数量验证。 （c）2020 Elsevier Inc.保留所有权利。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号