Publication: High order residual distribution conservative finite difference HWENO scheme for steady state problems
High order residual distribution conservative finite difference HWENO scheme for steady state problems
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Lin, J., Ren, Y., Abgrall, R., & Qiu, J. (2022). High order residual distribution conservative finite difference HWENO scheme for steady state problems. Journal of Computational Physics, 457, 111045. https://doi.org/10.1016/j.jcp.2022.111045
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In this paper, we develop a high order residual distribution (RD) method for solving steady state conservation laws in a novel Hermite weighted essentially non-oscillatory (HWENO) framework recently developed in [24]. In particular, we design a high order HWENO integration for the integrals of source term and fluxes based on the point value of the solution and its spatial derivatives, and the principles of residual distribution schemes are adapted to obtain steady state solutions. Two advantages of the novel HWENO framework have been
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- Lin, Jianfang
- Ren, Yupeng
- Qiu, Jianxian
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Lin, J., Ren, Y., Abgrall, R., & Qiu, J. (2022). High order residual distribution conservative finite difference HWENO scheme for steady state problems. Journal of Computational Physics, 457, 111045. https://doi.org/10.1016/j.jcp.2022.111045