diff --git a/README.md b/README.md index 433f227..ee514d1 100644 --- a/README.md +++ b/README.md @@ -1,30 +1,46 @@ HeLaZ (Hermite-Laguerre Z-pinch solver, 2020) Current version : 0.6 Roadmap : 0. Write MOLI matlab solver in Fortran using Monli1D as starting point 0.0 go from 1D space to 2D fourier and from Hermite basis to Hermite-Laguerre basis 0.1 implement linear Poisson equation in fourier space 0.2 implement moment hierarchy linear terms 0.3 RK4 time solver 0.4 Benchmark with MOLI matlab results for Z-pinch (cf. kz_linear script) Note : benchmark_*.m compares MOLI and HeLaZ linear results 0.5 Load COSOlver matrices 0.6 Benchmarks now include Dougherty, Lenard-Bernstein and Full Coulomb collision operators Note : for full Coulomb, one must store a precomputed matrix from COSOlver in the iCa folder 1. Implementation of the non linear Poisson brackets term 1.0 FFTW3 has been used to treat the convolution as a product and discrete fourier transform 1.1 Methods in fourier_mod.f90 have been validated by tests on Hasegawa Wakatani system 1.1 Qualitative test : find similar turbulences as Hasegawa Wakatani system with few moments + +2. HeLaZ is now working with a non linear term and shows good qualitative turbulences + + 2.1 Zonal flows are observed in a similar way to Ricci Rogers 2006 with GS2 + + 2.2 Linear analysis showed that a certain amount of PJ are recquired to trigger mode + + 2.2.1 The \eta_B = 0.5 case is easier since it converged better in linear analysis than \eta_B = 1.0 + + 2.2.2 Collisionality helps + + 2.3 Quantitative study with stationary average particle flux \Gamma_\infty + + 2.3.1 Convergence study of \Gamma_\infty w.r.t. P and J + + 2.3.2 Direct comparison with GS2 results of Ricci,Rogers 2006