weno11_js Module

Classical Jiang-Shu WENO on an 11-point stencil using six 6-point substencils. As with WENO9, these are the finite-difference flux-reconstruction coefficients rather than plain pointwise interpolants.

Uses

- weno_family
- precision

Variables

Type	Visibility	Attributes		Name		Initial
real(kind=wp),	private,	parameter	::	candidate_coeffs(6,6)	=	reshape([-1.0_wp/6.0_wp, 31.0_wp/30.0_wp, -163.0_wp/60.0_wp, 79.0_wp/20.0_wp, -71.0_wp/20.0_wp, 49.0_wp/20.0_wp, 1.0_wp/30.0_wp, -13.0_wp/60.0_wp, 37.0_wp/60.0_wp, -21.0_wp/20.0_wp, 29.0_wp/20.0_wp, 1.0_wp/6.0_wp, -1.0_wp/60.0_wp, 7.0_wp/60.0_wp, -23.0_wp/60.0_wp, 19.0_wp/20.0_wp, 11.0_wp/30.0_wp, -1.0_wp/30.0_wp, 1.0_wp/60.0_wp, -2.0_wp/15.0_wp, 37.0_wp/60.0_wp, 37.0_wp/60.0_wp, -2.0_wp/15.0_wp, 1.0_wp/60.0_wp, -1.0_wp/30.0_wp, 11.0_wp/30.0_wp, 19.0_wp/20.0_wp, -23.0_wp/60.0_wp, 7.0_wp/60.0_wp, -1.0_wp/60.0_wp, 1.0_wp/6.0_wp, 29.0_wp/20.0_wp, -21.0_wp/20.0_wp, 37.0_wp/60.0_wp, -13.0_wp/60.0_wp, 1.0_wp/30.0_wp], [6, 6])
real(kind=wp),	private,	parameter	::	linear_weights(6)	=	[1.0_wp/462.0_wp, 5.0_wp/77.0_wp, 25.0_wp/77.0_wp, 100.0_wp/231.0_wp, 25.0_wp/154.0_wp, 1.0_wp/77.0_wp]
real(kind=wp),	private,	parameter	::	beta_mats(6,6,6)	=	reshape([384187.0_wp/40320.0_wp, -539591.0_wp/5040.0_wp, 1840141.0_wp/7560.0_wp, -314063.0_wp/1120.0_wp, 661145.0_wp/4032.0_wp, -235637.0_wp/6048.0_wp, -539591.0_wp/5040.0_wp, 12160229.0_wp/40320.0_wp, -41615261.0_wp/30240.0_wp, 2674951.0_wp/1680.0_wp, -1048211.0_wp/1120.0_wp, 2706017.0_wp/12096.0_wp, 1840141.0_wp/7560.0_wp, -41615261.0_wp/30240.0_wp, 47689393.0_wp/30240.0_wp, -6937561.0_wp/1890.0_wp, 32862709.0_wp/15120.0_wp, -15848531.0_wp/30240.0_wp, -314063.0_wp/1120.0_wp, 2674951.0_wp/1680.0_wp, -6937561.0_wp/1890.0_wp, 21703781.0_wp/10080.0_wp, -25980937.0_wp/10080.0_wp, 4762921.0_wp/7560.0_wp, 661145.0_wp/4032.0_wp, -1048211.0_wp/1120.0_wp, 32862709.0_wp/15120.0_wp, -25980937.0_wp/10080.0_wp, 31617079.0_wp/40320.0_wp, -2966279.0_wp/7560.0_wp, -235637.0_wp/6048.0_wp, 2706017.0_wp/12096.0_wp, -15848531.0_wp/30240.0_wp, 4762921.0_wp/7560.0_wp, -2966279.0_wp/7560.0_wp, 6150211.0_wp/120960.0_wp, 90593.0_wp/40320.0_wp, -188483.0_wp/7560.0_wp, 139471.0_wp/2520.0_wp, -68601.0_wp/1120.0_wp, 2033509.0_wp/60480.0_wp, -73379.0_wp/10080.0_wp, -188483.0_wp/7560.0_wp, 8449957.0_wp/120960.0_wp, -9478331.0_wp/30240.0_wp, 5300629.0_wp/15120.0_wp, -5877617.0_wp/30240.0_wp, 2567287.0_wp/60480.0_wp, 139471.0_wp/2520.0_wp, -9478331.0_wp/30240.0_wp, 1197047.0_wp/3360.0_wp, -169859.0_wp/210.0_wp, 6881719.0_wp/15120.0_wp, -1015303.0_wp/10080.0_wp, -68601.0_wp/1120.0_wp, 5300629.0_wp/15120.0_wp, -169859.0_wp/210.0_wp, 4721851.0_wp/10080.0_wp, -16306061.0_wp/30240.0_wp, 61427.0_wp/504.0_wp, 2033509.0_wp/60480.0_wp, -5877617.0_wp/30240.0_wp, 6881719.0_wp/15120.0_wp, -16306061.0_wp/30240.0_wp, 19365967.0_wp/120960.0_wp, -1139749.0_wp/15120.0_wp, -73379.0_wp/10080.0_wp, 2567287.0_wp/60480.0_wp, -1015303.0_wp/10080.0_wp, 61427.0_wp/504.0_wp, -1139749.0_wp/15120.0_wp, 384187.0_wp/40320.0_wp, 139633.0_wp/120960.0_wp, -178747.0_wp/15120.0_wp, 178999.0_wp/7560.0_wp, -139633.0_wp/6048.0_wp, 662503.0_wp/60480.0_wp, -12281.0_wp/6048.0_wp, -178747.0_wp/15120.0_wp, 141661.0_wp/4480.0_wp, -1323367.0_wp/10080.0_wp, 1991239.0_wp/15120.0_wp, -643999.0_wp/10080.0_wp, 243127.0_wp/20160.0_wp, 178999.0_wp/7560.0_wp, -1323367.0_wp/10080.0_wp, 159219.0_wp/1120.0_wp, -559651.0_wp/1890.0_wp, 248681.0_wp/1680.0_wp, -288521.0_wp/10080.0_wp, -139633.0_wp/6048.0_wp, 1991239.0_wp/15120.0_wp, -559651.0_wp/1890.0_wp, 4877743.0_wp/30240.0_wp, -5106971.0_wp/30240.0_wp, 255397.0_wp/7560.0_wp, 662503.0_wp/60480.0_wp, -643999.0_wp/10080.0_wp, 248681.0_wp/1680.0_wp, -5106971.0_wp/30240.0_wp, 1884439.0_wp/40320.0_wp, -1240.0_wp/63.0_wp, -12281.0_wp/6048.0_wp, 243127.0_wp/20160.0_wp, -288521.0_wp/10080.0_wp, 255397.0_wp/7560.0_wp, -1240.0_wp/63.0_wp, 90593.0_wp/40320.0_wp, 90593.0_wp/40320.0_wp, -1240.0_wp/63.0_wp, 255397.0_wp/7560.0_wp, -288521.0_wp/10080.0_wp, 243127.0_wp/20160.0_wp, -12281.0_wp/6048.0_wp, -1240.0_wp/63.0_wp, 1884439.0_wp/40320.0_wp, -5106971.0_wp/30240.0_wp, 248681.0_wp/1680.0_wp, -643999.0_wp/10080.0_wp, 662503.0_wp/60480.0_wp, 255397.0_wp/7560.0_wp, -5106971.0_wp/30240.0_wp, 4877743.0_wp/30240.0_wp, -559651.0_wp/1890.0_wp, 1991239.0_wp/15120.0_wp, -139633.0_wp/6048.0_wp, -288521.0_wp/10080.0_wp, 248681.0_wp/1680.0_wp, -559651.0_wp/1890.0_wp, 159219.0_wp/1120.0_wp, -1323367.0_wp/10080.0_wp, 178999.0_wp/7560.0_wp, 243127.0_wp/20160.0_wp, -643999.0_wp/10080.0_wp, 1991239.0_wp/15120.0_wp, -1323367.0_wp/10080.0_wp, 141661.0_wp/4480.0_wp, -178747.0_wp/15120.0_wp, -12281.0_wp/6048.0_wp, 662503.0_wp/60480.0_wp, -139633.0_wp/6048.0_wp, 178999.0_wp/7560.0_wp, -178747.0_wp/15120.0_wp, 139633.0_wp/120960.0_wp, 384187.0_wp/40320.0_wp, -1139749.0_wp/15120.0_wp, 61427.0_wp/504.0_wp, -1015303.0_wp/10080.0_wp, 2567287.0_wp/60480.0_wp, -73379.0_wp/10080.0_wp, -1139749.0_wp/15120.0_wp, 19365967.0_wp/120960.0_wp, -16306061.0_wp/30240.0_wp, 6881719.0_wp/15120.0_wp, -5877617.0_wp/30240.0_wp, 2033509.0_wp/60480.0_wp, 61427.0_wp/504.0_wp, -16306061.0_wp/30240.0_wp, 4721851.0_wp/10080.0_wp, -169859.0_wp/210.0_wp, 5300629.0_wp/15120.0_wp, -68601.0_wp/1120.0_wp, -1015303.0_wp/10080.0_wp, 6881719.0_wp/15120.0_wp, -169859.0_wp/210.0_wp, 1197047.0_wp/3360.0_wp, -9478331.0_wp/30240.0_wp, 139471.0_wp/2520.0_wp, 2567287.0_wp/60480.0_wp, -5877617.0_wp/30240.0_wp, 5300629.0_wp/15120.0_wp, -9478331.0_wp/30240.0_wp, 8449957.0_wp/120960.0_wp, -188483.0_wp/7560.0_wp, -73379.0_wp/10080.0_wp, 2033509.0_wp/60480.0_wp, -68601.0_wp/1120.0_wp, 139471.0_wp/2520.0_wp, -188483.0_wp/7560.0_wp, 90593.0_wp/40320.0_wp, 6150211.0_wp/120960.0_wp, -2966279.0_wp/7560.0_wp, 4762921.0_wp/7560.0_wp, -15848531.0_wp/30240.0_wp, 2706017.0_wp/12096.0_wp, -235637.0_wp/6048.0_wp, -2966279.0_wp/7560.0_wp, 31617079.0_wp/40320.0_wp, -25980937.0_wp/10080.0_wp, 32862709.0_wp/15120.0_wp, -1048211.0_wp/1120.0_wp, 661145.0_wp/4032.0_wp, 4762921.0_wp/7560.0_wp, -25980937.0_wp/10080.0_wp, 21703781.0_wp/10080.0_wp, -6937561.0_wp/1890.0_wp, 2674951.0_wp/1680.0_wp, -314063.0_wp/1120.0_wp, -15848531.0_wp/30240.0_wp, 32862709.0_wp/15120.0_wp, -6937561.0_wp/1890.0_wp, 47689393.0_wp/30240.0_wp, -41615261.0_wp/30240.0_wp, 1840141.0_wp/7560.0_wp, 2706017.0_wp/12096.0_wp, -1048211.0_wp/1120.0_wp, 2674951.0_wp/1680.0_wp, -41615261.0_wp/30240.0_wp, 12160229.0_wp/40320.0_wp, -539591.0_wp/5040.0_wp, -235637.0_wp/6048.0_wp, 661145.0_wp/4032.0_wp, -314063.0_wp/1120.0_wp, 1840141.0_wp/7560.0_wp, -539591.0_wp/5040.0_wp, 384187.0_wp/40320.0_wp], [6, 6, 6])

Subroutines

public pure subroutine weno11_js_reconstruct(f_stencil, f_hat)

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=wp),	intent(in)			::	f_stencil(:,:)
real(kind=wp),	intent(out)			::	f_hat(:)