An unstructured shock-fitting solver for hypersonic plasma flows in chemical non-equilibrium

High-order shock-capturing hyperbolic residual-distribution schemes on irregular triangular grids

“…The proposed sensor is not just a shock sensor; it is a more general sensor that also detects various nonlinear waves such as compression and expansion waves. The proposed technique is also applicable in constructing a shock fitting technique [29,30] , which will be discussed in future reports. A similar steady-characteristic-based shock sensor is proposed and extended to 3D flows in Ref.…”

“…The converged solutions are obtained by freezing the blending parameter, , after a certain number of Newton iterations, typically [30][31][32][33][34][35]. Continuous changes to causes the residuals to plateau.…”

“…Another alternative is to use a special quadrature formula [26] , but this technique requires development of completely new high-order schemes and therefore, is not pursued in this study. The proposed sensor may also be used as a first step toward the development of a shock-fitting scheme [28][29][30] .…”

An enthalpy‐preserving shock‐capturing term for residual distribution schemes

“…Because the distribution matrices are uniformly bounded, the L D A scheme is linearity preserving, ie, it is second‐order accurate at steady state, (that is, it preserves linear solutions). It is widely used for the simulation of smooth flow fields …”

“…Residual distribution methods were employed successfully for the discretization and solution of advection-diffusion scalar equations [21][22][23][24] and for the compressible Navier-Stokes equations in the context of transonic aerodynamics 19,[25][26][27] in other works. In the hypersonic field, the method has been applied to double-cone configurations 28,29 and blunt-body problems, both in shock-capturing [30][31][32] and shock-fitting [33][34][35][36] contexts.…”