From 7c9146d70b33921cae4e231dbd11de6a88091cc2 Mon Sep 17 00:00:00 2001 From: Gaspard Jankowiak Date: Tue, 8 Feb 2022 21:09:01 +0100 Subject: [PATCH] [dAJLR] numerics for 8.2.22 --- numérique/dAJLR.markdown | 36 +++++++++++++++++++++++++++--------- 1 file changed, 27 insertions(+), 9 deletions(-) diff --git a/numérique/dAJLR.markdown b/numérique/dAJLR.markdown index 38b750d..fd93906 100644 --- a/numérique/dAJLR.markdown +++ b/numérique/dAJLR.markdown @@ -7,23 +7,41 @@ subtitle: Curves with modulated stiffness ## Parameters: -|$N$|$L$|$M$|$\mu$| +|$N$|$L$|$M$| |-| -|$180$|$2\pi$|$0$|$10^{-2}$| +|$180$|$2\pi$|$0$| |-| {:.bordered.center} +# 08.02.2022 ## Results: -|$c_0$|$\beta$|$t_{max}$, iter$_{max}$|result|comment| +|$\mu$|$c_0$|$\beta$|result|comment| |-| -|$0$|const.||[movie](/s/numerics/dAJLR/beta=1.mp4)| -|$10$|const.||[movie](/s/numerics/dAJLR/const_c0=10.mp4) -|$0$|SDW[^1]||[movie](/s/numerics/dAJLR/sym.mp4)| -|$0.1$|SDW||[movie](/s/numerics/dAJLR/sym-c0=0.1.mp4) -|$1$|SDW||[movie](/s/numerics/dAJLR/sym-c0=1.mp4) -|$0$|ADW[^2]||[movie](/s/numerics/dAJLR/asym.mp4)| +|$10^{-2}$|$0$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-2.mp4)|cigar via "circle"| +|$10^{-1}$|$0$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1.mp4)|cigar via "triangle"| +|$10^{-1}$|$2.5$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=2.5.mp4)|non embedded curve (neg. curv.) at equilibrium| +|$10^{-1}$|$2.5$|$e^{-0.7\rho}$|[movie](/s/numerics/dAJLR/exponential_e=-0.7_mu=1e-1_c0=2.5.mp4)|embedded curve (neg. curv.) at equilibrium| +|$10^{-1}$|$2$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=2_clipped.mp4)|clipped, cigar at equilibrium?| +|$10^{-1}$|$3$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=3_clipped.mp4)|clipped| +|$10^{-1}$|$5$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=5_overstep.mp4)|timestep too large?| +|$10^{-1}$|$10$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=10_clipped.mp4)|clipped| +{:.bordered.center} + + +# 31.01.2022 + +## Results: + +|$\mu$|$c_0$|$\beta$|$t_{max}$, iter$_{max}$|result|comment| +|-| +|$10^{-2}$|$0$|const.||[movie](/s/numerics/dAJLR/beta=1.mp4)| +|$10^{-2}$|$10$|const.||[movie](/s/numerics/dAJLR/const_c0=10.mp4) +|$10^{-2}$|$0$|SDW[^1]||[movie](/s/numerics/dAJLR/sym.mp4)| +|$10^{-2}$|$0.1$|SDW||[movie](/s/numerics/dAJLR/sym-c0=0.1.mp4) +|$10^{-2}$|$1$|SDW||[movie](/s/numerics/dAJLR/sym-c0=1.mp4) +|$10^{-2}$|$0$|ADW[^2]||[movie](/s/numerics/dAJLR/asym.mp4)| |-| {:.bordered.center}