.. _gallery_fvmbook: ====================================== Gallery of :ref:`fvmbook` applications ====================================== .. contents:: Chapter 3: Linear Hyperbolic Equations ====================================== **Directory: `$CLAW/apps/fvmbook/chap3/acousimple`** 1D Acoustics simple waves `README <./../_static/apps/fvmbook/chap3/acousimple/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap3/acousimple/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap3_acousimple__plots_frame0000fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap3/acousimple/_plots/frame0000fig1.html .. image:: thumbnails/apps_fvmbook_chap3_acousimple__plots_frame0008fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap3/acousimple/_plots/frame0008fig1.html .. image:: thumbnails/apps_fvmbook_chap3_acousimple__plots_frame0015fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap3/acousimple/_plots/frame0015fig1.html Chapter 6: High-Resolution Methods ================================== **Directory: `$CLAW/apps/fvmbook/chap6/compareadv`** comparison of methods `README <./../_static/apps/fvmbook/chap6/compareadv/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap6/compareadv/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap6_compareadv__plots_frame0000fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap6/compareadv/_plots/frame0000fig1.html .. image:: thumbnails/apps_fvmbook_chap6_compareadv__plots_frame0005fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap6/compareadv/_plots/frame0005fig1.html .. image:: thumbnails/apps_fvmbook_chap6_compareadv__plots_frame0010fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap6/compareadv/_plots/frame0010fig1.html **Directory: `$CLAW/apps/fvmbook/chap6/wavepacket`** wave packet with 1st order Godunov shown here `README <./../_static/apps/fvmbook/chap6/wavepacket/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap6/wavepacket/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap6_wavepacket__plots_frame0000fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap6/wavepacket/_plots/frame0000fig1.html .. image:: thumbnails/apps_fvmbook_chap6_wavepacket__plots_frame0001fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap6/wavepacket/_plots/frame0001fig1.html .. image:: thumbnails/apps_fvmbook_chap6_wavepacket__plots_frame0002fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap6/wavepacket/_plots/frame0002fig1.html Chapter 7: Boundary Conditions and Ghost Cells ============================================== **Directory: `$CLAW/apps/fvmbook/chap7/advinflow`** 1D Advection with inflow boundary conditions at left and outflow BCs at right `README <./../_static/apps/fvmbook/chap7/advinflow/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap7/advinflow/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap7_advinflow__plots_frame0001fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap7/advinflow/_plots/frame0001fig0.html .. image:: thumbnails/apps_fvmbook_chap7_advinflow__plots_frame0004fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap7/advinflow/_plots/frame0004fig0.html .. image:: thumbnails/apps_fvmbook_chap7_advinflow__plots_frame0011fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap7/advinflow/_plots/frame0011fig0.html **Directory: `$CLAW/apps/fvmbook/chap7/acouinflow`** 1D Acoustics with inflow boundary conditions at left and reflecting BCs at right `README <./../_static/apps/fvmbook/chap7/acouinflow/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap7/acouinflow/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap7_acouinflow__plots_frame0001fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap7/acouinflow/_plots/frame0001fig0.html .. image:: thumbnails/apps_fvmbook_chap7_acouinflow__plots_frame0004fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap7/acouinflow/_plots/frame0004fig0.html .. image:: thumbnails/apps_fvmbook_chap7_acouinflow__plots_frame0011fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap7/acouinflow/_plots/frame0011fig0.html **Directory: `$CLAW/apps/fvmbook/chap7/standing`** 1D Acoustics with a standing wave solution `README <./../_static/apps/fvmbook/chap7/standing/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap7/standing/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap7_standing__plots_frame0000fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap7/standing/_plots/frame0000fig1.html .. image:: thumbnails/apps_fvmbook_chap7_standing__plots_frame0005fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap7/standing/_plots/frame0005fig1.html .. image:: thumbnails/apps_fvmbook_chap7_standing__plots_frame0010fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap7/standing/_plots/frame0010fig1.html Chapter 10: Other Approaches to High Resolution =============================================== **Directory: `$CLAW/apps/fvmbook/chap10/tvb`** 1D Advection with a TVB method `README <./../_static/apps/fvmbook/chap10/tvb/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap10/tvb/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap10_tvb__plots_frame0000fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap10/tvb/_plots/frame0000fig0.html .. image:: thumbnails/apps_fvmbook_chap10_tvb__plots_frame0005fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap10/tvb/_plots/frame0005fig0.html .. image:: thumbnails/apps_fvmbook_chap10_tvb__plots_frame0010fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap10/tvb/_plots/frame0010fig0.html Chapter 11: Nonlinear Scalar Conservation Laws ============================================== **Directory: `$CLAW/apps/fvmbook/chap11/burgers`** Burgers' equation `README <./../_static/apps/fvmbook/chap11/burgers/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap11/burgers/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap11_burgers__plots_frame0000fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap11/burgers/_plots/frame0000fig1.html .. image:: thumbnails/apps_fvmbook_chap11_burgers__plots_frame0004fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap11/burgers/_plots/frame0004fig1.html .. image:: thumbnails/apps_fvmbook_chap11_burgers__plots_frame0010fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap11/burgers/_plots/frame0010fig1.html **Directory: `$CLAW/apps/fvmbook/chap11/congestion`** Traffic flow equation with density bulge `README <./../_static/apps/fvmbook/chap11/congestion/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap11/congestion/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap11_congestion__plots_frame0000fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap11/congestion/_plots/frame0000fig1.html .. image:: thumbnails/apps_fvmbook_chap11_congestion__plots_frame0001fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap11/congestion/_plots/frame0001fig1.html .. image:: thumbnails/apps_fvmbook_chap11_congestion__plots_frame0002fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap11/congestion/_plots/frame0002fig1.html **Directory: `$CLAW/apps/fvmbook/chap11/greenlight`** Traffic flow equation with expansion fan `README <./../_static/apps/fvmbook/chap11/greenlight/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap11/greenlight/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap11_greenlight__plots_frame0000fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap11/greenlight/_plots/frame0000fig1.html .. image:: thumbnails/apps_fvmbook_chap11_greenlight__plots_frame0005fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap11/greenlight/_plots/frame0005fig1.html .. image:: thumbnails/apps_fvmbook_chap11_greenlight__plots_frame0010fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap11/greenlight/_plots/frame0010fig1.html **Directory: `$CLAW/apps/fvmbook/chap11/redlight`** Traffic flow equation with shock wave behind red light `README <./../_static/apps/fvmbook/chap11/redlight/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap11/redlight/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap11_redlight__plots_frame0000fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap11/redlight/_plots/frame0000fig1.html .. image:: thumbnails/apps_fvmbook_chap11_redlight__plots_frame0005fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap11/redlight/_plots/frame0005fig1.html .. image:: thumbnails/apps_fvmbook_chap11_redlight__plots_frame0010fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap11/redlight/_plots/frame0010fig1.html Chapter 12: Finite Volume Methods for Nonlinear Scalar Conservation Laws ======================================================================== **Directory: `$CLAW/apps/fvmbook/chap12/efix`** Burgers' equation without entropy fix `README <./../_static/apps/fvmbook/chap12/efix/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap12/efix/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap12_efix__plots_frame0000fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap12/efix/_plots/frame0000fig0.html .. image:: thumbnails/apps_fvmbook_chap12_efix__plots_frame0001fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap12/efix/_plots/frame0001fig0.html .. image:: thumbnails/apps_fvmbook_chap12_efix__plots_frame0002fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap12/efix/_plots/frame0002fig0.html Chapter 13: Nonlinear Systems of Conservation Laws. =================================================== **Directory: `$CLAW/apps/fvmbook/chap13/collide`** Colliding and merging shock waves in shallow water equations `README <./../_static/apps/fvmbook/chap13/collide/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap13/collide/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap13_collide__plots_frame0000fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap13/collide/_plots/frame0000fig0.html .. image:: thumbnails/apps_fvmbook_chap13_collide__plots_frame0003fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap13/collide/_plots/frame0003fig0.html .. image:: thumbnails/apps_fvmbook_chap13_collide__plots_frame0011fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap13/collide/_plots/frame0011fig0.html Chapter 16: Some Nonclassical Hyperbolic Problems ================================================= **Directory: `$CLAW/apps/fvmbook/chap16/vctraffic`** Traffic equations with a spatially varying flux `README <./../_static/apps/fvmbook/chap16/vctraffic/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap16/vctraffic/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap16_vctraffic__plots_frame0000fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap16/vctraffic/_plots/frame0000fig0.html .. image:: thumbnails/apps_fvmbook_chap16_vctraffic__plots_frame0004fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap16/vctraffic/_plots/frame0004fig0.html .. image:: thumbnails/apps_fvmbook_chap16_vctraffic__plots_frame0008fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap16/vctraffic/_plots/frame0008fig0.html Chapter 17: Source Terms and Balance Laws ========================================= **Directory: `$CLAW/apps/fvmbook/chap17/advdiff`** Advection-diffusion with implicit solver `README <./../_static/apps/fvmbook/chap17/advdiff/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap17/advdiff/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap17_advdiff__plots_frame0000fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap17/advdiff/_plots/frame0000fig1.html .. image:: thumbnails/apps_fvmbook_chap17_advdiff__plots_frame0002fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap17/advdiff/_plots/frame0002fig1.html .. image:: thumbnails/apps_fvmbook_chap17_advdiff__plots_frame0004fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap17/advdiff/_plots/frame0004fig1.html **Directory: `$CLAW/apps/fvmbook/chap17/onramp`** Traffic flow with an on-ramp `README <./../_static/apps/fvmbook/chap17/onramp/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap17/onramp/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap17_onramp__plots_frame0000fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap17/onramp/_plots/frame0000fig0.html .. image:: thumbnails/apps_fvmbook_chap17_onramp__plots_frame0002fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap17/onramp/_plots/frame0002fig0.html .. image:: thumbnails/apps_fvmbook_chap17_onramp__plots_frame0004fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap17/onramp/_plots/frame0004fig0.html Chapter 20: Multidimensional Scalar Equations ============================================= **Directory: `$CLAW/apps/fvmbook/chap20/rotate`** 2D Advection with a rotation of square and Gaussian `README <./../_static/apps/fvmbook/chap20/rotate/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap20/rotate/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap20_rotate__plots_frame0000fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap20/rotate/_plots/frame0000fig0.html .. image:: thumbnails/apps_fvmbook_chap20_rotate__plots_frame0001fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap20/rotate/_plots/frame0001fig0.html .. image:: thumbnails/apps_fvmbook_chap20_rotate__plots_frame0002fig0.png :height: 4cm :target: ./../_static/apps/fvmbook/chap20/rotate/_plots/frame0002fig0.html **Directory: `$CLAW/apps/fvmbook/chap20/burgers`** 2D Burgers' equation with square and Gaussian data `README <./../_static/apps/fvmbook/chap20/burgers/README.html>`__ ... `Plots <./../_static/apps/fvmbook/chap20/burgers/_plots/_PlotIndex.html>`__ .. image:: thumbnails/apps_fvmbook_chap20_burgers__plots_frame0000fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap20/burgers/_plots/frame0000fig1.html .. image:: thumbnails/apps_fvmbook_chap20_burgers__plots_frame0001fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap20/burgers/_plots/frame0001fig1.html .. image:: thumbnails/apps_fvmbook_chap20_burgers__plots_frame0005fig1.png :height: 4cm :target: ./../_static/apps/fvmbook/chap20/burgers/_plots/frame0005fig1.html