[cig-commits] r22785 - in seismo/2D/SPECFEM2D/trunk: doc/USER_MANUAL src/specfem2D

dkomati1 at geodynamics.org dkomati1 at geodynamics.org
Fri Sep 13 12:58:52 PDT 2013


Author: dkomati1
Date: 2013-09-13 12:58:52 -0700 (Fri, 13 Sep 2013)
New Revision: 22785

Modified:
   seismo/2D/SPECFEM2D/trunk/doc/USER_MANUAL/bibliography.bib
   seismo/2D/SPECFEM2D/trunk/doc/USER_MANUAL/manual_SPECFEM2D.pdf
   seismo/2D/SPECFEM2D/trunk/doc/USER_MANUAL/manual_SPECFEM2D.tex
   seismo/2D/SPECFEM2D/trunk/src/specfem2D/compute_pressure.f90
Log:
added Ainsworth


Modified: seismo/2D/SPECFEM2D/trunk/doc/USER_MANUAL/bibliography.bib
===================================================================
--- seismo/2D/SPECFEM2D/trunk/doc/USER_MANUAL/bibliography.bib	2013-09-13 16:50:41 UTC (rev 22784)
+++ seismo/2D/SPECFEM2D/trunk/doc/USER_MANUAL/bibliography.bib	2013-09-13 19:58:52 UTC (rev 22785)
@@ -14327,3 +14327,25 @@
 	less than plus or minus one~second}
 }
 
+ at article{AiWa09,
+author = {Ainsworth, M. and Wajid, H.},
+title = {Dispersive and Dissipative Behavior of the Spectral Element Method},
+journal = {SIAM Journal on Numerical Analysis},
+volume = {47},
+number = {5},
+pages = {3910-3937},
+year = {2009},
+doi = {10.1137/080724976}
+}
+
+ at article{AiWa10,
+author = {Ainsworth, M. and Wajid, H.},
+title = {Optimally Blended Spectral-Finite Element Scheme for Wave Propagation and NonStandard Reduced Integration},
+journal = {SIAM Journal on Numerical Analysis},
+volume = {48},
+number = {1},
+pages = {346-371},
+year = {2010},
+doi = {10.1137/090754017}
+}
+

Modified: seismo/2D/SPECFEM2D/trunk/doc/USER_MANUAL/manual_SPECFEM2D.pdf
===================================================================
--- seismo/2D/SPECFEM2D/trunk/doc/USER_MANUAL/manual_SPECFEM2D.pdf	2013-09-13 16:50:41 UTC (rev 22784)
+++ seismo/2D/SPECFEM2D/trunk/doc/USER_MANUAL/manual_SPECFEM2D.pdf	2013-09-13 19:58:52 UTC (rev 22785)
@@ -14707,74 +14707,74 @@
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Modified: seismo/2D/SPECFEM2D/trunk/doc/USER_MANUAL/manual_SPECFEM2D.tex
===================================================================
--- seismo/2D/SPECFEM2D/trunk/doc/USER_MANUAL/manual_SPECFEM2D.tex	2013-09-13 16:50:41 UTC (rev 22784)
+++ seismo/2D/SPECFEM2D/trunk/doc/USER_MANUAL/manual_SPECFEM2D.tex	2013-09-13 19:58:52 UTC (rev 22785)
@@ -205,7 +205,7 @@
 The SEM is a continuous Galerkin technique \citep{TrKoLi08,PeKoLuMaLeCaLeMaLiBlNiBaTr11}, which can easily be made discontinous \citep{BeMaPa94,Ch00,KoWoHu02,ChCaVi03,LaWaBe05,Kop06,WiStBuGh10,AcKo11}; it is then close to a particular case of the discontinuous Galerkin technique \citep{ReHi73,LeRa74,Arn82,JoPi86,BoMaHe91,FaRi99,HuHuRa99,CoKaSh00,GiHeWa02,RiWh03,MoRi05,GrScSc06,AiMoMu06,BeLaPi06,DuKa06,DeSeWh08,PuAmKa09,WiStBuGh10,DeSe10,EtChViGl10}, with optimized efficiency because of its tensorized basis functions \citep{WiStBuGh10,AcKo11}.
 In particular, it can accurately handle very distorted mesh elements \citep{OlSe11}.\\
 
-It has very good accuracy and convergence properties \citep{MaPa89,SePr94,DeFiMu02,Coh02,DeSe07,SeOl08,MeStTh12}.
+It has very good accuracy and convergence properties \citep{MaPa89,SePr94,DeFiMu02,Coh02,DeSe07,SeOl08,AiWa09,AiWa10,MeStTh12}.
 The spectral element approach admits spectral rates of convergence and allows exploiting $hp$-convergence schemes.
 It is also very well suited to parallel implementation on very large supercomputers \citep{KoTsChTr03,TsKoChTr03,KoLaMi08a,CaKoLaTiMiLeSnTr08,KoViCh10}
 as well as on clusters of GPU accelerating graphics cards \citep{KoMiEr09,KoErGoMi10,Kom11}.

Modified: seismo/2D/SPECFEM2D/trunk/src/specfem2D/compute_pressure.f90
===================================================================
--- seismo/2D/SPECFEM2D/trunk/src/specfem2D/compute_pressure.f90	2013-09-13 16:50:41 UTC (rev 22784)
+++ seismo/2D/SPECFEM2D/trunk/src/specfem2D/compute_pressure.f90	2013-09-13 19:58:52 UTC (rev 22785)
@@ -218,8 +218,9 @@
 ! pressure = - trace(sigma) / 3 = - (lambda + 2/3 mu) trace(epsilon) = - kappa * trace(epsilon)
 !
 ! to compute pressure in 2D in an elastic solid in the plane strain convention i.e. in the P-SV case,
-! one still uses pressure = - trace(sigma) / 3 but taking into account that the off-plane strain epsilon_zz is zero
-! by definition of the plane strain convention but thus the off-plane stress sigma_zz is not equal to zero,
+! one still uses pressure = - trace(sigma) / 3 but taking into account the fact
+! that the off-plane strain epsilon_zz is zero by definition of the plane strain convention
+! but thus the off-plane stress sigma_zz is not equal to zero,
 ! one has instead:  sigma_zz = lambda * (epsilon_xx + epsilon_yy), thus
 ! sigma_ij = lambda delta_ij trace(epsilon) + 2 mu epsilon_ij
 !          = lambda (epsilon_xx + epsilon_yy) + 2 mu epsilon_ij
@@ -227,7 +228,6 @@
 ! sigma_yy = lambda (epsilon_xx + epsilon_yy) + 2 mu epsilon_yy
 ! sigma_zz = lambda * (epsilon_xx + epsilon_yy)
 ! pressure = - trace(sigma) / 3 = - (lambda + 2*mu/3) (epsilon_xx + epsilon_yy)
-!
 
   if(elastic(ispec)) then
 



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